{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--BOOK_INFORMATION-->\n",
    "<a href=\"https://www.packtpub.com/big-data-and-business-intelligence/machine-learning-opencv\" target=\"_blank\"><img align=\"left\" src=\"data/cover.jpg\" style=\"width: 76px; height: 100px; background: white; padding: 1px; border: 1px solid black; margin-right:10px;\"></a>\n",
    "*This notebook contains an excerpt from the book [Machine Learning for OpenCV](https://www.packtpub.com/big-data-and-business-intelligence/machine-learning-opencv) by Michael Beyeler.\n",
    "The code is released under the [MIT license](https://opensource.org/licenses/MIT),\n",
    "and is available on [GitHub](https://github.com/mbeyeler/opencv-machine-learning).*\n",
    "\n",
    "*Note that this excerpt contains only the raw code - the book is rich with additional explanations and illustrations.\n",
    "If you find this content useful, please consider supporting the work by\n",
    "[buying the book](https://www.packtpub.com/big-data-and-business-intelligence/machine-learning-opencv)!*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Using Random Forests for Face Recognition](10.03-Using-Random-Forests-for-Face-Recognition.ipynb) | [Contents](../README.md) | [Combining Different Models Into a Voting Classifier](10.05-Combining-Different-Models-Into-a-Voting-Classifier.ipynb) >"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implementing AdaBoost\n",
    "\n",
    "When the trees in the forest are trees of depth 1 (also known as decision stumps) and we\n",
    "perform boosting instead of bagging, the resulting algorithm is called AdaBoost.\n",
    "\n",
    "AdaBoost adjusts the dataset at each iteration by performing the following actions:\n",
    "- Selecting a decision stump\n",
    "- Increasing the weighting of cases that the decision stump labeled incorrectly while reducing the weighting of correctly labeled cases\n",
    "\n",
    "This iterative weight adjustment causes each new classifier in the ensemble to prioritize\n",
    "training the incorrectly labeled cases. As a result, the model adjusts by targeting highlyweighted\n",
    "data points.\n",
    "\n",
    "Eventually, the stumps are combined to form a final classifier."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Implementing AdaBoost in OpenCV\n",
    "\n",
    "Although OpenCV provides a very efficient implementation of AdaBoost, it is hidden\n",
    "under the Haar cascade classifier. Haar cascade classifiers are a very popular tool for face\n",
    "detection, which we can illustrate through the example of the Lena image:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "img_bgr = cv2.imread('data/lena.jpg', cv2.IMREAD_COLOR)\n",
    "img_gray = cv2.cvtColor(img_bgr, cv2.COLOR_BGR2GRAY)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After loading the image in both color and grayscale, we load a pretrained Haar cascade:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "filename = 'data/haarcascade_frontalface_default.xml'\n",
    "face_cascade = cv2.CascadeClassifier(filename)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The classifier will then detect faces present in the image using the following function call:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "faces = face_cascade.detectMultiScale(img_gray, 1.1, 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the algorithm operates only on grayscale images. That's why we saved two\n",
    "pictures of Lena, one to which we can apply the classifier (`img_gray`), and one on which we\n",
    "can draw the resulting bounding box (`img_bgr`):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "color = (255, 0, 0)\n",
    "thickness = 2\n",
    "for (x, y, w, h) in faces:\n",
    "    cv2.rectangle(img_bgr, (x, y), (x + w, y + h),\n",
    "                  color, thickness)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we can plot the image using the following code:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WVxMj50P72SdGS7+NZntmZNkEAJNhd8cpzFutLXQ9g6XdbiMr4uQd8v9gMpDEVt1uC2fO\nrOOppx8H4JJzWe9jyIsC40kasOPHL7QwrUoiWCLxU9zZ2cGdfdeW2/sD7Hr/ndFasHdQdmjCOo48\nkop8mk970mi5h0Wag3rW73S0RZ6y5uZivHMwxXsjlB1LJKseaXHoqSwXpZzlucO1fZvzIpe2McVc\n86WJOaPruo6hy6YZ8aZBEs2pFAmnGATs+w8nzzK0vKWjM+f4FvqdtTLhPEjfwYOUSN9NfRFTxyR0\nWGZGcKVqphjHoKzEARCRcKBJHd0v8zjx6e8zabeY/z0zp6SE8Juc3ZiYhEAwpQRbRQ9jHym5vb2H\n9W3H0V5ZXULuHfFEAPzYqk2FTtdZ0KNxhbxQeOH5pwEAe3t7uHTJWefGZuAq6aeQulYBNQW/Tg1b\nEdhbMFe3t7Dv0+ge1AbGK2+b5dB+uzIQuuNJZIGRL2QhC1nIIy6PpEU+S45joX+rZTqycxa08s1u\nywMRjxEqrYUhkuc5Jp5ZoovCFQzxS87d/X0oT3NTeSaJkfKiQOaZAWmbt7e3oZRCRkkEaFiO12VM\nwGYM2kVgKRBMgBIMw3I9Tehz93+PuuBbKxFmiN+FavxmDRDyzVBCk2UkRSZYxWRkU9a9y1uS/N38\n9XCTeMY5EsHcpBuGNls7Da1MW/zp9WdDK5nuQGt3/cnYYGvL4+XLPWifT7yjWqAqrBYzYaNQOUFe\nEB4/7wKEnt7axJ07LqHWaDQA1c6KVpmGCgFtWqPyDzmelBjVE4z9au/W3i58CnRUWsUc5EqhCuzF\n2sIEDPEEDrJHXpE/rEr7KJm1xJwNrdzF2XksaOWbLyTVkjTIf6S6aEFZt8TNiwKmKqF9lF2v34cu\n3Har3UWrG7LXtWT5q1Uuz1hVlaMMhnzaxmDiQ5z39/Yw2HMf63g0wuraGgCgLktU3rk1nIwBY4WH\nnmfRwTq7vNjDL6L8pqGhkMPdHyM1dawVuMQccnYmOcgDp/yI7+yoaOR5jvy0zc0yd3wITgnb6TmN\nJGpJYRF3TLyHMYxMF/4+FXY8tKILBZW7c07pdeTt3O/XQBliTxSWel0UueuPp556AltbroDFG2+8\nATMMofsauTdEjFICDQ4nI2wOR9j3fppBWYE9zZG1ksm1sgwr3HsN7Z2jJ8kB/+1hgCxkIQtZyHew\nPJIW+XHhk4fdWj9u7pZHTdIIylLyVGhxblKmoW20gs+uroJ8NKjOMqFfqSwGt9RJQBCYkWWZlPTq\ntAvpw3pSYjwa+e0xdn0JsMH+AXa9RT4ej13UaaB5dTrSlm8HiZVl5o8rV0noaCv6qBXhcfP4HHeM\nz4ZGp+mGs2nGTYiyeU5ZxuhiBjAcOuc3Ng36K87yXV7pIS/8aq8kjEoXydnrLaHTa8OwW0meOXsa\nzzzjHJ83blzDzlZ8tjDmWSmwhxMndYXBcIjtwdD9lrdAfhUIncF4qLGsjFA+W3melJp7xKAVAkMH\nylMWi78yLEopTUXygbO2IP+Bq0KBcgvrFYExjIk/v7YGK2HJ7KlAgINTgxM+IwcF6FBCqqpkmeKq\nW0cqWzgmHZRZRo0XmRZcdgwKkvMDU0Qj8KSTgZAMxnBOyUrGqONHx+M1SKAFIkbhX35ZjiWasZqU\nEq49HB5Isd3hcIi1U2uoPS5Y1pVg2UwamceVi1YHykfC7e4fSPJ7hCW35GbOJcSeiLC8cVbuQ4EN\n0GqhvbTh71cj7+Xo9F3IPrsTXf9rJWHhSNIq5EpJBr6ax7BK4cAXBN7eGwq7hYik1Fert4onLjwF\nwCnv/X33gW5vb2N7ext7e26ZfWs0QlW6j/WUicvkdrsQZTEajcBskRcxzcNk5D7Qfr+PopX5+wwF\noy+KAkUWQtwtyiT8v5Eg0qaJruLSvCYSbNhqhrUEQ6H4b4QkrGYoE85mEEe+vE92CGINTTmKLMBJ\nKil4bZNJMuYwZzZCbproDohjwXDFjCywXoihQ8a/ZiniCOWwK3IR2m8SJdVCM0Q/VeqmAZkAteDH\naV8m95yaL4o2YWKSAhAt/22UhBtXnFJvZxM89fQ515bWEsZDFzpvVRtatdHx8FJntQP9vguuP4bb\n+NPdSwCAwWSCPHffyc5gjLeu3wQA7I4tRpSjWD7vjqsqmPANGQsKY7sL+ZY1DWExnP0wR8gCWlnI\nQhaykEdcHgqL/ChJi+rOWp4dBZ/MY4ZwI23uYWdNmN/TJJLMLFbjrKXkzGsnbU4dmgYslk34LVho\nCs2EXseBXZg5iVo0GBz4pRwsWnCWQqvVEutWKYXhaBJXEVkGnQd2CKH2luNwOERt3bXyVjta5EoB\npGNu52RFQqRRVs66rU0ZK9TYmMvZGAMiRlVlcv+Y7CMpdcYxOARQSTIpg7JM2ClJ0iettVjnxhix\nuvv9PjY23Irg/PnzqKoKW1tbAIBbt25hd9c5SLe/9jY63kFamlpWKv2VZVgbnapZodH2Ttm0/9vt\nrhT7rcYTHIzG8p6yTmTgkOVkhZNCAnHMkmVJgRr7JD3OX+suPvH3QlzQzFEVp/z+dKXR/PwOHTfP\n2fleSlVVjSRcSd4yjDwEt7Ozg17PrQ6zXCHzbJa8aAFKRxaPAvpdd9yTTz6Jaxfc9/T2pcsY+NXZ\nwWic1FY4DAMHyzt9SkKS05zuLZThoVHk8zKpzXqxd1Pe8ec55zcUuYK1VqL8En3tJWYsDJCPpsOT\ng1T3loJmTa+7e5YAzfj7h8ALdcRAloHfvCcnTSOOiaCUUjCV287yuGTN8wK1r2tIWsNUDOPDGcna\neC1oCZ0nrZBlYTuHDsoa2oW+J8o7rZVZ+orkxiRlsupaPohQzb2elNJmgaAAgcDmTWKtVguTySQG\nGGWZwClZljXKmwUcHXATU2if1horKysAgNXVVbnX/pnH8eqrr/rjR1hZ7rv9gwMoReh5OKisxjKR\njScj6Mo9W7fXloAka+P7bLVaSRi3HxvyxSp5zz55gOyX8cMOnlAhv7hlOcceKpv33oubLOJ9nPHh\nYUcmeRbDJLTGhrJmhiEWLUWWZkajhmOPs+84YgyLMUAJvGmMgfXfye3stuxfWVlC2wcEgQ1QWVDy\nnnIfSn964xTe/0E34V/d2sSVd12g0PZggon/rlhp2CqmhkiFEBW2QsoaUlPw1PFkAa0sZCELWcgj\nLg+NRR7EhQU7mZWgJ8i0c2Tuki8EEgBQvqKHpVjR3RBDc7xT6s1nRKeUblhKiaVhFUDRIpku2Cz8\nXjRAHhgAUmDEkqytAtQDNJdY7jp+RQBqWDsEBePzRfe6XdSZz8FNCrVf5o/LCUrP2mi1WjAcS1CR\nUhLQwCoTS1NrBfbW5aSqXK5qv98nWIdvAEySHyNUlSGimVZ1sMBTOGh2dfmmhN+UdTBL8O4rpYR1\norVOnM1NO0UqmE+NlyzL5P6dpT4+/om/DgD4+te+hq9+9asAnOOzm7exub0l1+52wiqgEKutKk1M\nK1CW0i6lsibzxlePAQCDWOGG09BzjlV8/PIuDsHkGYgjBPOgJIUiw98C+yDdto1Sf1LI2a+C5XzY\nuHImNdcKv2/YhSiubxIIEMbKynF/Zxvw7KrB009CZ36cKQAayFpRTYYxpLXG2SdcDhbKC2x6CG9v\nVMNm3qLXGSxq1P7bJGRiOSefvINWQhtP/oQAHiJFPg9aEZnCm2X3TEpSPK4WZge5yAcAgG3AJ4oU\nLCcV2edWLI/wyXRbOCSTJ7+ERAiiOIxpun1WmqPTGSPxwDdzVRzG+8V9kHzUSmtkHhcfjQYx6VRV\nC0beX1rGcO8AmVeErVYL2nvdmRmTymPkkwnK0nvQSUua8CxTbjJJstTFFOAscEymdaOwQUpL5LTv\nagPWRw/h1F9wsHeALMtEkTOzK07hJTyn1loUaXp8UNyxGEklH+jq6jL2Dhyb4cUPfgBPP/csAOAL\nX/gCbt24JjnM9/f25X7L/SW0i1DdfYTK959lLdkf9/cHyDttpONBoDaQV+YAWIlRkNL/mNkpSE5/\nS5wJD1iYGYohGSPTOcUkwC4xJSPdyjOKGRK+s2TqmRcQNH3/e5Esy0EBKiRCFlhEDIEaTV1jPHJZ\nCa9fvQzYxwAAG2dOuQIUsREynjqdDi7tu/P3JhPs+Xwuw4odiwsAyGeWDG1XccJWHCEbhWi0Obz8\n5Op8Aa0sZCELWcgjLg+NRR7kXqGV2b81nZ1GjF4Fm4QeW05LXUWLwDjXn7umSu30WOCXlbcuEss8\n2BpGc4RPPBziG+j+RoB3EpiFKTo2U35symbBlCOYSCzilM2xvb2LNc/AqGCwtOQcdyvra5iotiwC\nnBXulpZlXYt1Oylr1CH3rGLJTQGysMqK5WCSXN+OQRItXy2855Q54JbSpXfQWmsj1KVnW16sm6ug\naWglhU1SKzwN9EkzKabc/9RyH5QV2n1fBaY26K+4tKc//Mpfw5e/9CW88XVXLeb04+dw6eK7vv2M\npV7fbzv+PeBC/8Nzj8djpMEqzqKOzxOr1Cf7kYxlS4C1Mb934ux0HvqZ3faeCbMHzCS/OcXAI4r7\nG0kSE1iD2c5lqqT7m/e8f2hF6Rxx6FkpCagy936mr3v53UsyLpbXVlAs95ME7SyO7MpU+OrX3Fi4\ntrkFSZacKYEclaKGI9999cl3kHQfJfsoea3HlYdGkc9jKByXftj8N/lAJJmOjdFXKWvFKhgVFS5B\ngSWZUMxiTZxQBBswj0uhauOQbSh1E4oXcLiiu79jycS2ySRDJPm0U7ycOaEsyjcfnsfCcFAYEZet\naotTp11wzp07txCwkZ3dfXDWQuUxwtFwgtHEUwbrWmhxWmtJWjWZTGQtbcDQlJYvgCgpYxhl6SaC\nLNORcmmMYKdaO6ZQ5Y/Li0zgLGUjNAWKqWaVZZngWnmBTGkJosp1hla6BE5keDDwbYnQis60TCaA\nC5xKKWMtX9ex0+pi20eGlmWJj3z0+/H+978fAPC5P/tzrKyuu/6raow2t6QtQam3dCaMpKLlmRLJ\n5Cl9J/9r7AFsqgjDvgBhQMqLkfzvwQkFOlfwhRDJO2MbkcHmY5BT4ACc8ZP4CAjy21FG2d32310U\nTKKIjY+cyhTFAibWoPAJrIbDIW7cuAEAWN1YR9HpSOk1Y4GtHRcs9I0338Qff/EiAODK7duCi2si\nl6IZABS5fEOBkcURWgESe43jXsK9sVYeGkU+S45KxnNckXzYpKKySZydlhialUyDFhwxqoa3Mc6b\nnPCFwsQRcDg5VP7wFqmKBQ+IyFHJ5DnjBZmt0O+UM8nknCZHN+GYsxKnbk0GnZaj3BXtFs4+5iLW\n9g72MfCc5hu3boPbKzJcGn2sMuikeHVwcDIlFEGVAWlYMsd84FAEU7kJwtY1TIjGTOmHtUFtjTib\nurYrZSaZ2SltODx2eqIGXFZDY6JTsd1uo91uS5sDFbMsS6yvO2Vr/DmAs8zTwsJFUch2aSwG3ilc\n2hqrpxz3nBjY3txE5QuAf+xHfhRvvfEmAODtt97C1UuXfeMmMvmPy8hhJgZarTzRdMkKawad1R/S\n0IzzFN57zb2eJ9P+IzFeKFVW6RlWqKywpjnZWDt37nkvn8daK6tKtjWyUBuWlRhGlDjI2+02dned\n/+PqtRtoLy+js+xoqlZpvHvlFgDgX/3J5/D6mz5SeO8AvSW3ciOlYauoc6CscAJcwG00EilZxYTv\nzEWSfxMxciJ6koj+BRG9TkSvEdHf8fv/cyK6SkRf8f/9jXu9x0IWspCFLOTucj8WeQ3gP2LmLxHR\nEoAvEtE/97/9t8z8Xx3/UklJqQQjtxxzQLDluUVtUk83M4sV7uZ8n58FCa2PFFiCWfy9/JyWKcjy\nsTYMsC8nRiT5rx3FzZ1olccqpW3J3KisBHAQE4zPDxEsASGqECVlx0JrgVw1LbUUWpqGmToeDjgY\nDXHthrMaXnnlFVkmfvbPPocLFy4AcFZHRTqCcKoJTYWkP2CSXBetVivig3WNOqEMNnLPKI1W4dpi\nrQV7qztliYxGIxCRQB3GmLgKSqiERVFEHDzPxGrO2rlE5YXnCW2YTGLE6vLysgQBpVRIpVQDu7TW\nStuW1telL6y1GE9ilKgqWsg9NXN/NMZTzz0HAHjs/BN49Sv/HwDgta/+BUY+6XSrU8D4VUNZlcja\nhQQubW2gjyChAAAgAElEQVRtybPleUzRu7K8jM3NTXkXQeL7CXtUXJoTMPb3UWCQsIbiM2utkec5\nCu/nUBShOqWaUGGouWqMib4N67aDy8QFJAUsOGtEDQe/SJZnKPwYNrZGVQ5R1yEnTmQxTY/lRjQ0\nmjLLij8q+NlaK32uqIBO4Bwt9FQrq7hxVWLi87nc3t7Dyu4AK5kbz19/5x38s//3XwAAvviltzFY\ncv6notuVc8iSQJhVXYNIz11hzFxtsmvP3Z5rWu5ZkTPzdQDX/fY+Eb0O4Py9Xu/BSYzMnPc7Uzpg\nFJiSYrBSi48TTnkUtgRSMemRbUR2kkAGBEzBLLL3UOtkL03PXBqzxBIwGDvFplSGXs85627cuIWd\nHcdvXVs/JS2zHMPwp29OiYKwajpNQciZ7EqARd9tOsnYOU9D0YmjnENXzrA1hJZlAGtDKD5JSDUR\nwwYFowFOJhJYG3OgI75xBUiiMNc3UXE0okmTY25v3ompC5QWmClXGlleQOUkT7W+sgoA2Nzcxg98\n7BUAwAsvfhf+8A//EADw1qXLOHfOQVv9tXXsbW+iKL2DFwpjv93u9kWRXLxyNUajclLyawYGfS8Q\nRIpRz5OGURU5ro3z2ZME3LYF++xcZK23hlzEpxXHn3LxCokBlX2TOHN010eODVld28CmLw94MC7x\nzqUb2HvDJcf6yuuv4xvvXAcAcBswFNVneBMpxHpI5RA30NpUwm6nY1Rj33HkPelKIroA4MMA/tzv\n+hUiepWI/hERrb0X91jIQhaykIXMlvt2dhJRH8DvAfj3mXmPiH4DwN+Dm1D+HoD/GsAvzTjv0wA+\nDQBn+537bcZcCZYyJbZaOtNZakZtWjk2/BUknm9TvhCj4WwkHZ1AOonZskkVd7CCJZtYu80Lzp2J\ng4XOSTu8hCCU5ZW+LNmvXL0mDsX19Y24ZIaPUONoeYlVmix505wyxFOpV9lImylhMLhjkwMTp3Dq\nELNpUJW10tPGGChPhUwtwkA5BIAKju4YlvNpZKhKrD5mjilxgUPHzLI8V/tLDado2K7rGooySXGr\ntcaWDwqqQZK3Y+XMGXzsR38MAPDFL34Z7777LgBgZzhGub+Lft8xWp555hns77tEXXvDYZK0qXB5\n2AFUlU2oaJFeCRy2wJpskMNL9vj34XdGlMIb6f5knUrc+BqMtXHlVJu48kzYWKQUtI6OP61zod8p\ncCOB1YOSeRbw9K1jQrgcrY5b0R5UNf7yrUv4+rvOIv/GpStSqq23sgKTBu4kwV1J4iL/jYeem70m\nSL+ru9S4niv3pcjJEYZ/D8A/Zub/DQCY+Wby+38H4P+cdS4zfwbAZwDg/WdWH7jbvZmgRx1SlkyH\nRxWTCq7mqeNTpe6ghEw0VpO9EsP1m7RGsHL4OtyH1FTqfivFSI/EyxQKjwOura1hGMqeDQdyRJ61\nkHnsztQWhhLlR7E/lNLiZU/zqRtjYs50r5Tjp48UvAUnfSDo0BTe7wq1RSyapJ9i6D5VCRyTR8Vv\nbZMHbm30paSK3Frb4JHPg1ZSRV4bI8+VZxmgp2mNgcVDqPw9s3YH29uOlqa1xtPve9Ftd3oS8ffG\nG2/gwpnTuH7dLc3bvb5jsQC4s72D0k/EnW4Lu35p77DdQDEkAFaGh7GzP5lUWce/Dyv1oxR5A2qj\nqKAUATWHpFMseHdtlcBATAjBmy6S0hdSUFlgQXksHUYUeYryPQiRyYOnY7bTb9X9srM/hPb00fGE\ncfHaLVy87t5tRR3kSz5pmmoh8gybd5svkcVDPPubNnTkhz5X7oe1QgD+BwCvM/N/k+x/LDns3wDw\nF/d6j4UsZCELWcjd5X4s8h8E8G8C+CoRfcXv+7sAPkVEH4Kb1y8C+Hfuq4XvoUxb5UEsNZ16TRdj\ndJbOmn8DZBDYHcTcyLvCKrViYzvIQzL+pEaw0SyZSrVySJaW3HKw1+tj0wex5FlLrN7BaChO0Los\nZ18kvZf/V6oQsRVLjYgCDci1OXWKYaqdSUAXN5bslDxrAi2xCaQhWE4szzoGdFnWKAoXFAQAKnGk\nZgmUYmvj0u36e0aqu9tWibUZbLW6rsWKz7NWIwf6eFxiOHarnHJSC2xFWS5OzW63i4FnkLzw3d+N\n7/reDwMA3nnnHdidXXz2s58FAHzlK1/C8rLjHi8tr6I07lq5YamEZWOGEh89TLLEoSNcYUdBK838\nPXOglRkrFdc/MaDHGIOJrzBVmxo2qXIvEazEyDLnuFXafWPTFr57zgcnaSQlyGJWt1mQQCsWCvsH\nbkV79fYObu0MUfrcRbrfA+cOBh7XBoz4HdGMLTXzmw2BZ1M29NFL7rvK/bBW/hizVcsf3HtzHoBw\nHKCHdgFOmTaANIW0jFTE2OcJIQS9AT6rWXJtgVZS7OyIj9A2btSMBIu3tEinHgbQ8iWsBuMRhgO3\nnM+KXHKOTyZ7aHdj9KLWOvHmJ6XmrJHESGlYPTHHoB+eWpozNZQ8J9g7J5CJeAGmFEw6EcyL8HWJ\nufwSOXN1DQtfki6FU7TWjXzks5gd1tpGZGfapqX+ikA7ZVmKsp5ULqDIhgGhFZ57wUEo7W4H/RAQ\nQoTByAUUVUQoCgd5vfTBl9EuJ/iev/K9AIDf+I3fwOc/9zl3fq+Llg/rt5rQ9dcaDg9kspMkU9Lm\nWfg3Dg3UecyWhpI+hiJX1HyfLtDG16YsDaqQg5sJlVSEZ7Rzny5B51CBquvb+c0KZGpmGZwDSfnv\nrGh18cY7Lrjr6+9exfbEovb0w/2xRe0n6azdg0adXsDfZPr6zTQb6f5GYZH79Bd8kwhAC1nIQhay\nkAclD3WI/jdDmJrzpMtHPuvIZPZMj58K1GFmWEFMklSdM+4jfx9aFaQSc1Uc1aYQrn7zzm2UPow8\nQ47Sc5WzIpdjtMpBatryTTzrIe9Isp+UkkOcpWbFImdEi86tJrX0xXTfAIet7oyUQFBEJAEl8yTL\nMlfYuIipd9Mc5OnyX0LkZ1j9qYM0yM7WdsyTniRTy4s2VtfX0O85a7nodCU/TbvTxfaeY6AonePs\nWZffZn8wwk2fg+X06dNAWWHjKVcM+sf/+idw5YqrKnPp8hWsrgRorIdMuaW9S/cbWB5NqIUw26Kd\ndnam+1NoZd7KJ/0t7TMNQpXcM1R5AhwcFZy1zIS69tZtpjBuO4dukRN0xgIJWbZHjPn3Thy8cTRr\nJCUv3NnewfXbdwAAm9v7mLT6qD2EN6xqlD7wp9fO0kiKeKkjK/zEFbZN9EyKENwrzPRtr8gbQTxz\na0sdpUiPJ7JiTJeMREgTW50oVOuEEiIdr1+/jtU1lx9kMqkw9qyJTq+Lydgp8rzbgtKzoYU0MhZJ\ndXVNKn4Q5OGkBE5JMduwlG3SFefXH1UqKvJ5bJJUQpRiwLLTmp1pJsQ0YnM6sjPAK9Pn7+8fSN6W\npX4fS8su6Kfd6yLPWxJ4ZJRCW7kl9+7BvmQ8ZGZ8/Y23ALjJM+Dgm9tbeGZtDW/9hfP9P/300/j4\nT7gCFr/1j/9nHAzc+2u326hr1/5epyND1kg1voDlmrlqaR5GPi3zoJXjRKKkUFdljUB4hg2UzwBX\nVYXsd++Co8+FmpkNH5hQpHCmHeb2+Qmdomq4+O5leReU5WDSYB/402q3QcpHI1PqVZtr/R0p8xT4\nLAbd3WQBrSxkIQtZyCMuD4VF7haMgbysobzlZ62WvB/G1s4sgWMzhCXOqKpRWkYgpSqdg4N1YGPa\nSlYKRcjVkWVSdEkTQxmW/CqKTWKcK7BKKvb4GbS2RkLcC62cN17iwmNYORSgVFgaE+BD/xV8xjNv\nuio0LdoQiKN0tKqMrRAwGwsFKJYybCCNPR9csrK+ARv2Ky3ONkuEfMlZjTUR4DMAAs4aUzrk4KAG\n3zo4OMuyjA5NNB2MpLhxrdy6VUDKUkCyzUo39tejyPcuqwpdz+M1Y4MlXyAZAFr+WYxhTPYHUB3X\nt3nRFthoMpzEoJsLz6P0XOfRJAb3MAGD4RC7vjyXUkpYP+efflby1nS7XXnGuq5R17HKUqGUZLPU\nWQZTjn3bDDaK0H8WauDukRPh7asTXLhwAYDLT/7K33D55K7c2cQ//ae/DwDoWArDHGwYWWDdaIat\naljP19akGsFO8AWSlKMauXvaTALV3DkWWYBmzATsT2eOOfQtKfhoexg2wsaqqgqWCMrDWVRn0uc7\nozFu+Sry+6VFq++YKt1aY2Pizn+spXAuL7Dm79k2NQpfXq30aY0BoOYIh3GSIRRgz/ZKVouy2m46\nEdOx1bPkPiQAk5pRees6663Att04ub61h7cv3wYAfOXKPipvdZd5D0Yr1B4qzDQh8/rE1iNoFUkR\ns9hmxKphdrO1wld3jyE0qngOEWYuIe4iD4Uif5AyDz5IIw4fVkmrbxOlyk85ylQo48YsDAKQjjUz\nNRq1RBEmJVbIU+waVuhjKTNhGrGbxyyZhkBSzHkWTGKTlLgApnJwNK+dMmdCf+wN9/D4449LTpKd\n3X1hl/SW+nLOtWvXcPrsGQBOcYagnUnlcrYvLblJYmNjA6urDkLpLi03IJdQZGM0GsEY00jodeBL\nwqWFKXSSf7pOinQYY3D6/DN4/fXXAQDPv+9ZSY718Y9/HDdvukChL3/xS3jiSZeyqBqPpPhBXVcY\n7O+DPaNqeXlZ7unYNLFyvT3i+z/qtyBBKU3H6UxPyvMuNfJ55ikDxmPXxnGhMdaM0gcIFcSuOAYA\noyjJaaQTCJKbY5ETAKMBPyQkQ5pqJxQqoUkyuPDQCAODgaOSbm3viI+Dk/6b1gwUXRRibN6PpH6l\nVHnfC8r7ba/I58l0SPODQ6/vXeq6hgoh4SoJo4eCMTHPcm1jrm1QagSYhiKXorgEYKpGZmoFBQlh\n4YBTXOH7CEqZJDK1qZiDFZkKEYG9ZZTJhWLGvGjdR0WYYtwppr2+vo6trS35ENc3Tstv+4MDsRRP\nnz6NN954w/dRfMai3cKpU6dw7jGnMJeXo/I+GI0bzlCZINEsTpHnOTY2NqRtaSHpFJdPFfxwOJQ+\n297elrD8yWiMT37ykwCAm9dviILvtVuyasg0ob+yLBk4y2qM3f09uU8LbhWhQgQoXAEQm7yX4yjx\nhiSef4kdaB4gW2k6hzB5EQEjn21xkAMH1ELPFzIuFInD3Trt66+Y4s0sq1hrvbKepUAbmk+jacnG\nSGELBZW59zeuK9zY8nnHb93A7W03KddKST9ZCs776HAmjjU/w20OW+OzEesUE9fUYLgnGVHjxU7y\nuhYY+UIWspCFPOLyHWOR3w1Cib8/PLZ5bRhZwAE1IibuaWTB8qyMgfLYnytkJKYztAqe+dRqZpCa\nYqokFrlLKxspa4CrbtPA1JUS/Hya2qf1YWjFkoqRlFMWeZo3ZR60UjPiUnwwQK/XE3ZJmoO82+2K\nFX358mXs+CjXtY3TYkH3l5ewurqKvodWyrLE7q5bWk/qJnwStsO9pDxcVTWiPsM90yAkrXUjTzeT\nFSx+dXVV4KA81yh8Dve//cu/hF//9V93z1wnKxLSqKoKI3+felIi89Zuv98H+7Q6zNzAxeM7JrBN\nqxJhSo5n0zXGkLxPbvxuPOumMrXALMOxxlgrjPxt2nkuY9PaKWposqIMC00LguU4zsNeAI0kbZbQ\njHplkujeIm/B+JJse/tDXLnl8vbf2NrCQelXMSqHoRCZ3Xx2zdE616wAdXSfTZ9PjdVGAkUmTKF0\nZXMSVfRtr8iPg5E/rNBKym81TNDB8cmAqbnB42378m6OShUUpBZHiiLdKGSRltpiG/MkszXJduwX\nfYgWyK6UFeDDrQ8rbwACpxwO408iU5mR5oBK31Mg2cXaj07xrqysCEY+GpeCfw9Gw1g8uqrx8oe+\nBwCwsrYhUEZlalRVJcq7qiopQLF++kyjHanirqpKrl1VVaPIcyhe0Ol0ZP909GilIpZeliWW+649\ndTkRmugHPvAB/NRP/RQA4Hd+53fQ8zVTAaC2lTjlsyKXCXt3f4C+6knfBwWS0uoOAxJqNmOO1cyj\np/0gDZ8IJ8qcuOEjqepIShhWFca+/uUkIxQhiyfHdAmKlOhHThi7zAxruFGAxSbjL7YfDajFsssj\nDwDcbmPsiRC3d3dwzUNY26MRbNuNpTJhgVu4+0tkKFsoD60otqjvA88g4kZsNomRdm/XW0ArC1nI\nQhbyiMu3vUUeZHZuZsxgrzxEtrlKYsRstEpr45xw1kbLVaxlpWMsqFJikRMoOhmBJOjHSbCoUitS\nqRgE1IRP+FCFndQRalPr3P/b6H9qEsZqY6Ozx8ZQl5TdkjpEV5aWMR6PY5SiysSivrN5B2trrpbJ\nC+9/CadOnQIAFO1IJeSaUZYlyLN4iqKQc7rdrljdw+FQ4KuQKjdl0YTCztPQUhpZmj73jVu3XYQn\ngFu3dlCX7p6bm5s4ddrBPleuXcUnPvEJAMDVq1fx2mtfBQDcvHYd6+vrAg+V1VicvQBgAxMVMW94\nuqJgZlhwzBWTCqupYZ9Y3tx8l1IejpuU01SCg55BjhoMYDQpcaAI+36F1qZM8vu0p1hO4XIhcGv6\nWXzDksrzqdgm1AItqYhLQ7i96xzENzZ3sOOLkU9IQ3kndl03VzFZEvimGWKvK0aaaeVYMi8gziV0\ns4eOO4km+rZX5I8y/TDLioRHjljqzBiUiZIg6Mha4TgQDBthqhBZoWxFZXN48DSog4oRknOlnHJh\nrUQovvFRp6yNNCQ8LZvHLGmgUNd1hDAsI0/eSdoepT2/tyzRbrexv+9YB7dubwqb5OWXX8b5846N\novMCA89vHpe1HFO0W+j3+7LsT++zs7MTE2VNJvJcaf3Q8A6mYZewLfnUiRoYOTGw7UP2z549izfe\n/AYAF+W5F9gpWSaT7y/8wi/gj/7oXwIAPvvZz2JzcxNbuzvStoDbr62tod6LtTADaGYR+3ym/k4g\nmNlKI4VZDkMrM7nTCbulsgbsC24cWEIBoB36U2l4lAOtnBqR0QGmcyMkZHs0DvYLKottosjT1tvG\n30a1hJd/e+8Al244vvj1rW1MfAdwnmHiG1ArggAVHHxOoR5nnMiIm5PcrP6dxbJJ+yzm94/9T8QS\nn3ASmGUBrSxkIQtZyCMu3/YW+XHkYXV2Kp3HaERrYLxpUQauslQxh+S0YF89B/Dee51GaUbrQFPT\n6m3CJAFaie4YDY5pa30kanR2ouGEaq58dOOcuF8hmBzWWnGKHsqXnTBbgnXb7nZx6dIl4Vuvb5zG\nM888A8AF90h61apGp+vYIMNxKX2ZZRmyLMN44qCJg4ODeF+dNSzqYPW2221orcXyNsbg2rVr7hSt\nJYFXq9WSyNA0OAgATp9fExbNwWAf3/M9zhG7vb0tjlullKw0Wq0WPvlzPw8AeOVHfwy//du/LYWd\n67pCzu6e12/ewKmug1xSB2ca3GIpRm8Czm5VjVF/2KZzJfniu2gsXslGS3UqmlLSCBPLmCWjcKBK\ndAMLaGIQqm+d6dfRIk2KfytYGB+WRGygUENzHJPCWpmyydO/qqzAuHIrrM39Ea7fcSui7eEYVeb6\nz2YFxn51Rlkuz6ynLGLHI09/SyEo9y9PlcRzsNVs53Fk3SSWfpo+/dBZ8+WhUOQEJLiihfUvr7ZW\nMvGlYeSpTGd1S3FMy4wsj4UFglhrJVBCKffBBUVkbd1IBtVI7DMD43IRbvPzaUu7EKGR9Y0N3Lp+\nA+2OG0jGWkwmLlHPqVOnsHXHZV9bOf0Y2CuO0iQ5ny1BqxyZzyyndS6sB/dQQeHqKQWdKFtM17n0\npyoSBZ7CKVrrmPnOQzaSGTDPURSRwbGz5dgggckBxKReAFC02mA2MWqyrESRGWMkkx4QlYJSSq73\n9ttvQymFD37wgwCAx88/Kcpzc3tLmCH95RVRiqvrp3D7tltWT6oS/X4fBwdOkbtgp4jLB+V99epV\nifi8ePEiLly4gK0tpwiWl5dx4cIFebbwLFmWyflZljUiQ+3+LqSwAMeJIJ2ksiyT7e3tmImx3W7j\nF3/xF/Hss88CAH73d39XIkutjdGUGQGTEMbPBXqtWNdUqRydwJQZDwRLZlaSSsKCpFQbMws0pzMN\nY2pJ6GVtZKe4/h7JfUL6ChQFskzJtcaVwe7QtbOVtQQqm0xGqCrltxW059xmiY8kyxQylWNry30b\nzz/3rEBge3t72Fh1/gbLtcBUvV4PO6qFaz6b4VvXruPOgftOrG6BvSKvWLJ/oMgKqJCejAFlEize\nMgTvYEgqECCZPIFYTAbcCL83dTSycooTjiaF3B/WZIfh2LKAVhaykIUs5BGXh8Iin5Z5DsiH2TGZ\nrgg43ZfMqpL2M0lYBThrK/f82q2tLQkaqSuL2ueJsAaNcHUmBTLBkTiVE+UYBJzU2p5bicgxaeWe\ngYySaWc1BiueKAYn1XUtMEOaK6YoCuGKB+hD+yRYp1dWxbo8e+5xsZyLosClS5cAAGfOnMG7l68C\nANbWV/Dss88Kg6PX7wuD4/Tp05FHPpmg7aGV119/HS++6Cr6DEZDXLlyBWfPPQ6gyQm31gr80e12\nhZ/++OOPo65ruWdVVbLKyPNcrPC6rmW/MSbCQe02zKHxm+bJDtaxQShefWdzE3UCB/X7ffz4T/wE\nAJcf5B/8g38AAHjppZdQD1yfKqWQK78KzTTkvZIrRxis2HkWXAqnNJ2dTaGEzRGeQLZldZM4Xtmx\nSSY+8duwYmg/tvfHQwn2arVyrLRdoFZeFKh8e6uqhGJgZc2tkN56521ZxbWLFi5fc2Oj12lFZk9Z\n4vr+Pm6P3DX2DTDxg7giBSOE9QhzACrhjTef2VKMvTAKQAPm8eeo5PunYHPHd6B9rplMaeiw8rF1\nDOLSJGkYiuzw9efJQ6HI56nnB4ldp3TDVPk+qPsw4gAfj8cNqKMoClSVp2mNRnjm6acBAJdv7clS\ntjIWtdANAZXk95gnBItQ5CGqitCw6N1XFPFSBXIZ9NCk1QEM7fHqPMuhdfzNGNPAjkMyqtFoJMq7\n1SrEGz8ajWBAaPtAjf39faysOirflStXhDK4v7+PVsdBAVeu3RBMmRRjdXVVcn2PxqV81EURmT6b\nN2+h8hn2Tp06hcuXXQmvdreDs2fPSpvH47HQF9u9vijfU6dOCTRTFAV2dnaEpthut+WcNKdKytox\nxgjTpdVqYTAZIgDNxJFF1HgtzDD+/KeeeipCZlph9+AAHQ8bfO9f/Qh++JW/BgB49dVXsdH3E4w1\naHsISimSqvdKFbAWGPtJrptnzQ/vODUjWYEOpdICmsreNvwyVaIUyRKGfjzn4wp1UOqtCDmUlQGN\nneJdbXfRW3Xv31qLqixhPIS0nOXSl1YBy/69GGNwZ3df7v/GzVvY3XNGwvZkgrFXvqw14KNEHU/F\nwxxJVKybrCK7y1U0TKY5696tpegj4CTXjaPiNn1RWrKMKrBx449rI1Gi7awVx3LCkrqbPBSKHEgV\n3nxrfH6+teNdf9a151VUOdl1pylQsyUoiNFohFaWy991XUuU4ZkzZ7DiU7e+eXkzhqjXNrgLEqdT\nUOy2QdNrfqHpR9akjzXDov3gU1HlpxTDPC+SMHoGcxI+X8f0qgwrylvpTNKONtIAKA3iGJk6nlQY\neLz41KmIZRsmwYQ//vGPCz6dFxqj0Ugs/6q2ojBv3rzZCLEP1vVz73tRFDczYzQa4dr1mwAc3h2i\nPinLZEUERK747u4uWq2WrBza7bb0x3g8FoWbOj47nY70cUpLnH43KU3TghHi0judjijFonBO1Nve\nf7K+cRo/+8mfAwB89k//HKeX3XGj0RAtH7qfK0IVPHaKYKwVNcypjmjwD2PEp+M2p+Nq2joPzkZA\nHNcUx7mBkngFtgoMi5D5VU1KlN4iv6oH2PD93G11cccr8v072/FdsMHB3r5TegA63Ras385IyaSu\nC8KBn3yrqsI7t7bFfzAqDergoNe5UBkJLPU3px2cjadteCIjX11Dy5hnshKlyVNOYNcvnuZYl2Bf\nyUtZi1bhxt/G6hrWV933n/kKUseRBUa+kIUsZCGPuDw0Fnkqs4J4prdPeq0GY6NhnVPjuHuVu2Hk\nzCy5pcfDIbqttrRpMBjIEv6jH/0orMeQy6puJrOSAKDmPdMUr07CdsyhktQbcH+rxCKfKgyRes3D\ndrvdlmRade1ylUiUY7K0zLJYcCDLMmnjZDJBZSMDxlrbYLIEjPn27duSK+bDH/6wMFX29vbwxBNP\nAABu3b6BVquFq1cdLvrc8y/gnXfeAeAw1IBrP/HU04Kpvvbaazh37hwA4GDo+vvx809K/wUrvtOP\n1vjW1pbgrVmWYWVlRVYLBwcHYq1PJhPBngHI6oCIGvANFckbSiIbU3qCo5W67eFkLNb9/sEBlNZY\n82X8arY45XOt/8rf+ffw2f/njwEAF995A+rAwym9NtqqeW3Sx8ddARUjDk/yeSQYeYi5YmIoKNTe\nih3VjJJd39weGQy23fjvlRZLfnWkOsvQKw5mO72+hl63KyvXN77+NSwtuXe7traOO3fceyG2oMIV\njLh47SKuDw/iN4SYnM0VlgkWdfx2tG2uQBhNRopNCs1kdQi2ssk3E+usuiISCQ6gFYynQprJBOTZ\nWb28wMqya/O5M6dxxkf/0pe+dGQ3p/LQKPJZ0EqKkd8vtJLeY3ofY349yeNc8yhoJUZfRuwU8B+V\nx+NGo5HAKU8++SS+9pd/CQCNXNhAk9eNBPaYFlHe8r8ZxyhOzp+dEClV6i5cOrbdWitwCqEZwZjy\ntRvRj0lmLGstxpNK7hOclStrG/j+7/9+AI7+FxS5hcvyCABLS0u4fv26hLt/+ctfFvz88tUrEtm5\nubkpVDgiEgXf6XXx9NNPS/bDFCMvy1KcpVprURyrq6sYj8dSfWg8Hjdw8aC8jTGi1EejkbxDay0y\nrWOaADJQ5M4JoIo7DpIHvtdawmDg2pXlOW7f3hT6YK/Xk/H0qU/+PDavOsjl6pVLGI/dBFkVGrbj\nQ2nUJ8IAACAASURBVM+tRU6QNgORYz69LA9/TwMpDdZ5w9k55WwPeHGSDI1IASoXOl5dVeLIvXFQ\nwuy6Nj99oY8Pfej7AAAfevl7IuTFBkWW48CH2KveqiQQO3fmDDY85PX6a3+Bb3zDRczevLWDIQjk\nnb9KkziCLWXIONB0FXSg3CZjlH2og4Tsk01cCRyLsyTK2z+sHMNII6BJ/B/WWrS8M3N5eRmn190E\nvb62hpVgTPD0G5gvC2hlIQtZyEIecXloLPJUHgS0AkBmymla4Hshx6EfpnS1qqokCIGI8PLLL8tx\nwQpkbuY3mc7ZHWmGJ++XaWdnc/vw8ZPJqAFT6Yygcdir7qxEZ2mUZYymNCBJ+jUejyUJFeAgjI9+\n9KMAgOdfeD/efPNNAI7yF6Tf7+PGjRsAgDwjnDlzBle8M+j555+XSkDPv/A+CbRhUrh81R3zfR/9\nAYGv+stLaLVauPjuuwCcQzPAJJs7u9Kufr8vVnzIWR4YNZ1OR95nGsFJFCvSuCCcGDRT2ybtNCYk\n043xEyzt4XCIA79SeeKJJ6CLViPwKC8cHHXtxnV85CMfAQB86Qufx9bNkbRFVgAMlLaGyhwjwkVV\nzoLj3jthJCtSlYEyDSXmLcPW7rd91njf8y8AAH7olVfw/R/7GADg9Kl13LrhHNKXLl7E3s42Vrzz\n8+yFFzEe+qRhnQ6eu/A+AMDehPGF19z42asUuFUI24rgnK7u/u77AlwO8Cz0k7XgUDOYPZxCAZoB\nzKwEMwBC/1FaDw5q6u8oWZZhtRvglFMC4bWyHJWv/3oSffdQKvJvR2FmYTasLi+jHI2lhKbWGi+9\n9BIAl7QpzWoXB0gzw6DLmOavPYfre5SkmDkBTSxdiA4x+LlMijdkWYY8i4DvdGGFvOUUzHg8FqWm\nslwGZqh/GRTRT/7kT2LomQo3b96USa0sS4y84rpx44Yowa3BHuq6lj7b3NqRJfjnP/95+Si6/SX8\n2I/9GADg4qUrQuva3d2FMUYmiqqqJBqw3+8LNBLw7fAsoe1BYkmzCC2l9TtbrZb0mVIKO4PtY32c\nqVIPUM67776LlfUNgXB2dvdlUtnd3cULLzhFuLKygt0tVzBB5zFKFHDvRiYSfvCLcWZqlBpUKgOF\nJF4KsL6M24vf/SH81E//awCAH/7BH5J38S//5M+xt+OMmtMba3j6+fcLZev0+rrQ8waDAUa+yPbj\nTz+Ll17+MADgzd//fWRLSxK1ra0CqpDyIrZTQ8ciF8YmjPJmebx0+1DRCKEfcmPfIajYH9fKi0aR\nkX63F+4izKiT2JoLaGUhC1nIQh5xuW+LnIguAtiHK7pdM/NHiGgdwG8DuADgIoCfYebtuRfhuORx\ny5rQLJM4EZMtYknA5KIaLcC+1FmyZGcGJnWSdCkEcjFAWZKeU1VQ4Xq24cVp5G9me3jeayFzsy5H\n2CZEjFlGUp0eWFp2XvbRaIhuO8f4wHXJBz7wATy+4Wbkd7/+ZRTWQQAja2MCKyhZImqlkRFBZcER\nmcOG5ETEiEFiKsacEKTYre9ohDlfKR0jznxCKSBABqHPCbWJzIzhMObDXl1dlkCZ4XCI7T3X/tRZ\na6pJjOjUCufOncO5xx8DALQ7GoWPwJxMJhiOt+WeO7uejaCiBdxbXkVlGe9cuuz7cyQW+Ysvvoii\nE0vAXXznbfeMWsNUzqru5DnQzjEeOmsvXVHYeiRWU10ptH0SDLIjtDRQjp216Kwr9z6q2gAeZmq3\nl8QKHpcTgUnyPMfG6gYO9p3zsh7XyNpuVaOLXO6fgdDxKwcAMJ72sdTpoh4MwDoGGI087NMtCqie\nO/+HP/ED+O//oXOW3xwNUBd+/FdtnOr1MfCW64q2yLyzuiBIfhGjC1hfGs1yhtrDZPXWNmoQah9Q\nM1YWe6Hgtc5QdVyb86zAuPTXBaMIDlWugOFQON5rKz388A/+VQDAr/67vyxO7Xde+xzefvciAGB9\ndRXf9V0uOK7T6aDVaUP75zdcQ3vS91Ivg1KuL08/tg6bufv/T7/9m2jv96UvDzn0/fdQkZXApWmN\nyEwS+JNz88eq5Z+zKJB7Z2lVGZAvG4fawq1Bgm6pxUG61m/jKR/sdGGtjaW+T4g3PsDAuD46CWD6\nXkErP8LMd5K/fw3AHzLz3yeiX/N//ydzzz7mGuJemSXT5zde6KFrN7svQGKWon6ftaya1bbpyMjI\n5tAgYlGEzz3/jASuVFUlE5FbRsegkSCu+EKzPFq33Qm/xvszCy49XRSBSDcUdkhulLJOyrKURF9a\na+zuRQW7uroqS/u6LiUTYVVVGI8j/VDod2UpCaieeuop9Ho9jMvIDsm9UqiqSvrFGAPjFVyn2xVY\noSotBsMRhp6dcf78eYEwtNa444Nm0kRfRVKYQikFAqHi2LdpCbYUQlJJSTpr4zs0bNH2SctOraxA\n+fNHo4kc0+/2hDWzv7+PqorJwTrUiakEhsOEsqgw2HdL66zIRZHXdQ0LFuWVSm4M2CeH+6Ef+hj+\n5I/+FADwja99XZhGo9EIerkj7AygbFwj+l2sDHSiaKA88cQT2NrbRz30fgFLsOwmxuFwCOOth6Wl\nZVx7y02e66fPyDPmSmFUj7DUd8//sz/7s/hbn/okAGDv5hV88YtfBOD8JWf9BH/mzJlG2bw8zzHx\nTKdJVUaYilVkEGVaIIvnnnsOF7cjPPZeS2qosPSrinAWMcgaYcLYusTSqgtcOnv2NDY2nF9Ga42J\nh+yqchKZMyfQdw8KWvlpAL/pt38TwL/+gO6zkIUsZCHf8fJeWOQM4J+RwwD+ITN/BsBZZr4OAMx8\nnYjOHHkFTHGXw76Egwmik6015lx//m9J4FDj0AiNyA80fe5s7rWTaN0ES62VaRhTycz94osv4u03\nHPe1rqskoKYtnGKg6QQz1iI1ycO1mFPuegznn071W+RZgyMe2Q3cqJBThQAGY6Rqe6vV8kmzDoeo\nt1qtRqBT2D5z6hTOeefi2toa8jxHp9eVPguW2+7urpzT6/XEgiWlhM2jqIOqqvD4uceknQHauXHj\nhoRrqzyTVUiWOP1cmbwkZ0aeNYJ4JJ/5ZAIzDDHljite5C3/Dlvo9DpyPSUQihY2xGAwiKswpTFM\nHKUE3XCWxncRUx9orcU5GML4SceVR8piavviwXdub+GXfvnfBgD8x//Bfyh5b4rM5awPztp+V8tq\nUyG16GLeHYJF5qGVty9exNrGKYl3OLizI5bjSr+H8b5bRV2+9C7OnXX8/kuXr+Ds2bMAgL3dbTx+\n9iz+7q/9KgDgg9/1Et7y7KTXvvhn0k/PP/88nn/xBXmukBG3qiq88847EhA1GA1j3+pCAqdUnkkb\nX375ZVz8V1/EgxLjV3S2LGH8+GplOfKQOru2DWg21xk21pwV/vST57G+7N5ZXQ4x2vdMNVMJg+Yk\nAMR7och/kJmveWX9z4noa8c5iYg+DeDTAHC235lS5EnC+PAwihullZoyn7WRUvVS5lBTAccfXJ3K\n5EBOlffhslnTE8Q8Kt/0PDQcDnHhwgUAQLvTEUVoTMzTbUx37rNNTzgxj0cCnxx6zihpDu5UeacJ\nsKqqagS0nHvMzcdZ5mpkhnNSaCKFZlqtmInu/Pnz6HoGRl3XqOu6wSKRzI5VLYme0iINZVli4L35\nvV6rkVBqZWkZ775zEQDw+BPn5VorS8tyrcZzCVbvk4ARxfwwiH6JVBQImuKyOcsyGF/GbDieyHHd\nblfewHAYKZudTgfL/SWhQFZVhY6nn4VnBACtCF0PQVVVJWORp6mnFCdmay1GPs/3wcEATz7pcOVP\nfurn8Xu/9VsAgI9+6IPY2b6N1TNOybmxEaCldMwwtO8zDZJJaWV1Cdvb29jy0EpJOVotTz8th6j9\nhN/SwLaHtpaXerh101FBP/k3fwaf+uTPIPNfwVdffRVf8XDKY6dWJKfOM888I4Ugbt++jXYrJkPT\nWstEFCisAEAtLduTyUSgFRcJ/OAUeVDYaZRz+v0zW7CpQd4XcfbUBk6fcop8Y2UFHe+/OBgfwPqx\npJiR+9z+6gSa/L6hFWa+5v+9BeCfAPg+ADeJ6DH/YI8BuDXjvM8w80eY+SMrnWL654UsZCELWcgx\n5b4sciLqAVDMvO+3fwLAfwHg/wDwbwH4+/7f//2u1wope5PCTYGZ6e/VzPo5o3yS2z8ff2lYylPW\neYMbMwNa0YBUFSIkhrqHXO4WXEMUq4tbazAcDvHhDzu+6872ti90HKxjZ2mWVTkzIEhrDa0UlI73\nicv0WLkl11rSZk4vxVtFq+HUrOqwCohQTlqVJ61cU5YlyrKU31JLqSxLYXM8+eSTeOyxx+T8lMFR\n1zVu3XLze6jYA7jgnBAuP5lMxNLPskycq618GYP9A7G8rl6/Jpzw8XAkx+3t7ckyOy2WHKtBufYM\nBoPIGsmVLNN7nTaK3DFgKHNWX7Dq0/D7brcL9oNzb29P+nmp34fyqVKHkzE6nY6wa4BoiSuVYZLk\nalHeIh6NRg04jJNxpqoKSk3kPe2MfCWk1XXcue2yRH784z+BV7/g8nW89da7eP78KUREKQFTWAmc\nYimyLBSTWNCDcYX+8jIynyLg+tYedn0h6b3BGLXP5Me2Bnk4sJ0V+NX/7D8FAPzIKx/DzuYW/uKr\nrwIA3r34Dp577hkAwIe++yUZS4PBAAe+YLZSSgKyjDFYWVvFvodwmDmuqPJmJtHwjvITpIG9F8nb\nrs0GLDCT0gT231BdTaABdAvXjgtPncfGihvnii2Md9yiMig8UyjXQMfDdyehdtwvtHIWwD/xgysD\n8L8w8/9FRJ8H8DtE9LcBXALwN4+6SBMCiOkhCbZBG4nwwFT+47n7ErxvBgQS/iVOyjmpZtYUnqYs\nJW2O+5Eo7OQYhTgpRbYTbOWSXIXl5ObmppyXRjy6AA63nQZ2SLuTZ6g8rayROyuJONRaN/KhhHuF\n+wSlxMyNNLCZzwcxHv//7L1ZrCVZdh22TswRN+705pdzVmZVV1d3qYtkUy1aEE2aFA0BgmzasiDR\noE2REkXAsn5sGKYI88P6E2zYfwZs2IBJgIY/KIuESIlqic1mz9U1z5WVlflyePnme9+dYo5z/HHO\n2Sfuy5dVmVnVzSzq7o/M9+6LG8OJiH32WXvttbO5Tu9hGNILc3w8oO+3222c35RiVE2n1cThy7JE\nkiSmQKrXa0yMZsIKbJvEtOzGz4OjCWzbxt7+DgDgwvmz9ML7QYC7d2Uzik6ng/H4mI5P1XuuPQdh\npWlKMFG/35+PBVTAYKkAg9uGzupQXkJA95/0XQ+W06C8Kopo2wkxPBoQfu95HhJ1/VmWEYRR1zVp\nhi8trdCDRcxXejfY3HOiFF0xOp6g1ZITXJrk+OVf+QcAgN/9nd8CKxIcqTZ8y2dXIKDZFY18gZDw\nkrxmAwd2+z2MJjMMjuU4J0lB7f0iHmA4kxN5Mh3hp35GNr/4tf/qHxJk8Mr3X0SZphiPpPN/7tnP\n4cI5OfnmeU7XkiQJ5QHa7TYmY+m4j46OUAsjEet47tzzrJ/ZktdzjUV+kNY8vkXPr0DNNZW1QBwE\nWFNVwxurK/DUw1VmKWpN5xU1Wr4MHjzHpiYzPzSMXAhxA8CXTvn8CMDPPPSOTjrLkw141TaPLpo1\n3+uExOMb+7Gk4pWJdE46/Ma6wKaopXnq7D6aoeZry0hfU4k4cb3BOLrdNmFhnFcGo+YlRRJO7dA1\nNNUNhdLyNiylpmgV5iJvGgneEL8XAlVZzCkrniYA5bouOfJmBNpUJATkC6NL3FdWVki0ajQaUWVe\nHMewFaaYJAnAOUXLnueR1njmGh57u92mirfZbGbK05mFMi+w1JVYctKIzg8ODijS5ZxjNpKOIIoi\neCqCqvIS0+mUxtzzPKJG+r5LTjVPMxRZgyLpexShO55PvRknE6OwF0YROZtkOqNr6XQ6YJbAeCIn\nlizLkKnONa7rmp6lgqPQlD3HgmhGzkx2+ZE3jc1F66aXZgYFySKOY3RV7cKv/uqv4au/97vIBzvq\n66yx74aA2snVqTpGVhaYpDN4vhzb5bCNO++9DwC4trWLL33lRwEAv/4bv4FnnnsOALC9s0fPyO7d\nu3Bshh99Qa5C4yigsZ3NZnPP4kR95+joiCpQl5aWYDk2SlWZ2Yy2q6qiZ9KyLBqXpiLlD8Ka+SO1\nOIYFBq6amTDB0WnHOK9yS5HvAGq1zYscQjl832HwHXn+rqImP6otKjsXtrCFLewzbk+M1kpzFtJ4\nMRMmIpDFCc1vNH95PK0Rc+wT9MP5LelfQRG9ico/irVy8nPqv2gxdNodwpV930eeG9aKLs5pFgQ1\nNTpIs5qbiKzditVx5rXFm8yGpuhVmeVzsAutAhpYeLOys91uo+amndtkMiEse21tlbTCm6yVVqtF\n2xwcHNDxun3Zpk2vHHb39ylyW1paghd5dHw9RqPRiKCVpe4aOOeYzKZ0/Tqiu3juPLEeptMpKgX/\ncM6po8x0PJFFQyqiPnv2LM5tymX+zs723PjpTu+wAVFz1KygY+rrjHwfuYrOJuMxjXMQBKbt3NER\nLl28iHeURPHW1hatHC5cuET0ScYY6p6KghvQAIM9x5aa67gkBGoVuQbtmHREBoNjtNWYrS/18F/+\n3b+Hr//hPwMAHN66BqH6BdXMROSMNd4mUw+E0WSGbn8J+wMJrVz78DrJCP8nf/sX8Ozzqg2f6+GN\n115V92xC53jp4nn0uz1023KFFfoBDhXe7bouFcR5nkfPYpIk8D05RnEcqwIwU6CmI+KyMqwRu0Gr\n/UFbWcr7I6oSTGHcEDUsXURnCbRDD2vLclVkVRVErdkpNRTqBtdicHQuywKYTgY+QmD+RDhyIbip\nknINRgrGaZkoahCn2rabUEIpK/WU87esxkTABdwGpqlxLMtihCVbFoMNjmb1+mnsw5NG0L2oFP5r\nnJ/ZmYFTBK8pWTuZTPClL36eXt7DvZQqI/f29uj6ZeJQX5fBmG3bhtMov5c8Yi1UZfi1luPMYeb6\nYU/TFJEXzDl2PZ7NnpeSH24UG9NsRucPgBo1nD9/jpKVVVVhb0eqFIZhSFzbuq4piWgzC5PJZK6x\nsU6KMsbI+Y+PR9Q8eXl52fDL4xCj0QgThX+32224avI7ONijZTbqCm3lOPI8xVRxdWExrG+s0vkI\nwXHn9hYAWU2oK0ul8qDqcRlFcD2fYMCqzClxyBhDW0EjvXYHYzXBjMfjOZjorTfeJC58K4zQ7nb0\nncF4JMfCshzYWnTL82Ap/WzYssdrrRQDq6pC0chxTPS1QbaBk/evQKqSkLfubCPtRnj2i1KQ7KvX\n34Hvy3ue1wUchdHOkgTqEGj3V7B/T0Ixre469g4PwBzpZP/Tv/m38KUfl4qLbhjj5l3Z5OPG7Xfh\nKzhsZalPeZIoihB4HsEp+TSh+5lmRhZB9nOVJ+D7PlWiZlkGxhhBUM3keTtu08/j8ZjyEO+88859\nuaXT7L4gSdlJ6m6zz678Xb2bjiAHXWUV4eAry0u4sLFOjnx6dASm4BQbAha0c7Mbvs2fqwx9WFtA\nKwtb2MIW9hm3JyIiB8ysd3IOMp+fTIDOQyFzbJFG4pE+EyZQnoNVVLJz7nfc/7tgOFVrpVkxKY3T\nDqUeuYnIdSK1LHN0ujFq1UU7SaYNQSkGXjYolw+5StRRZBB4c0UTHdVCinNOLJEgCBAF0XwRg4ou\nptMpRcSWZSFUAlSMMUoeBUGA9fV1WlGUZUlL4yAIKPG5s7NDq4gzZ86gUMyara0tuK6Ly1ckayeO\nY/p+XpaUuIyiiM55Op5QdD4aDDGdTnHxnGTH3Llzh6CZ8+fP08+9fh87Ozt0/jrZqpfvllrS1Lwm\nmOrmzQ+xtiZXGstLSxRB62Ik3zcFSrpbT1kUBOGEUYRIyfjaHVMlyssKt25+SO3Zzp2/QMUudV3T\nKsq2GbUErKsKtX7oSpXU1CucqgGtcI7Q16sdgf29PXUuLRrXThRieDzGWltud/XZ57D13usAAIdX\ntDqIlyJMFQNl9/AQpX7/ihrPv/BjuHRV6n4HUQs7e1LQbH9wDdNUJfE4pw43luOZ6JJzFJlhp/Cy\nomsWjVaDJ4XaTsIkzQrk5s9N2qyWgdWr3E9iD4JKAcBSz4zr2ORbHCHQUWJoG0t9dKIQlVrVMl6Z\nJs+WoOfPts0xalFB8EeHip8cR66xCmYqK1mD18cYh8YSpOPh938XD3Lo99uDliLyQTtlSSMak4m4\nH3JpMgiaXz9Nf7osS6yvr9NLPhqNCG9zHAd5afjBTdGs5vXcdxz1/9HRES0tQ9/HcCjZIEEQEEtk\nNptJEaUGfa4omxi96l8ZhggU0+Pg4ICYHZ1OB3EcE4TBmNFaHwwG1BFcO3oAODw8pOvt9XoIggAT\n1bYLMFSuoMGJr+uaPuec41jhs8kowdWrV8nJnj17lr6zu30Py2uqRPzWLSNA5nnw9IsDBtQcteaV\nW1YjL9DGjmpG4bouNjclA6fiNXZ3d2lszpw9j1LBBFVVwVHO22twmpPZFAcHsspxOp1ifX2dxtAG\nQzpTKneCwVEwT1WUJJoVxW1wXtD1V/XJoAFq/BkiVVSXFSlmUyUFIBgJk1mCI0eFlupn2Vtdg3tX\nPieBFSGt5X7zLCUxMe4FuHJVTpZXPvdjcBwHY9XM4faHNzDV7JowoGeuBgx3H0JD2lIWoTIOV1SG\n128HBrJwHIfYQEIIwvt1z9omdbYJmzRrFHRf1f39fcDu3jdeH2cP8hsnfYsWUPUsG65id3k2sK76\nxJ7bWEc78pCr+wxeGIfvGMVR27bJh9WcUzu4B+K6p9gCWlnYwha2sM+4PTERubamhghjptu9/FxH\n7fMMl3kIgs8vzfSmHzG5zXWYZ/Oz24MWOQZmqSHQbO9mNSJlPhepc2GaEq+trRFTZTKZUKTiui6K\nzCRX6HinRAnN6GyoltDr66sEgQyTBL2ejEiKoiB5142NDamV7Bhet46oLcuiBBXnnNqrRVFEEXav\n15MRYgMO0lbXNdKp0ilvd+Z1M1RC9sKFC7BdB1tbW3Sc3pLcdxAEprIzTUkeVnKl5fE63Rg7u9sk\nyOTYTKpCAQhDHx+89646L5uic8dxSI++rPK5NmxhGCJQDJLJxGibV1WFnZ1tdV98dNsdKvaZjI/R\n70kdmXFRYDSQy/jjowFKxVqoqoqO0et20Gl3aeVwuH9AErdRFCFurDwMBBbRNlUloQih9e1ts4pg\njMFRoW+VzeC7MjofjQdoxUrkajpDNwpwqHj9/SjEskowj492cTSQUawfhjh3QWq1hO0u2irSTgsO\nURaY5Sqpxxgs1SUqCFvoKjhNaqkryKPiKIWEnKpCad00ijCompTzuQpeneyU19xgbTUYCVVV0fOk\nvwdIbXcNqaRpCsSPFpF/3Iq++ZmuekVVw1FFPEtxjA1VWbwUx3BEhUxVqgZOk2RhkwgdsxiVztSC\nNxKuD5/sfGIcuSn8EY0CoUZ3e4aGg7+/JP7UEnmLn+qJm7dHFwTR37ig9lT6dAD9/Cmn3Pi+gJhX\nFkQ9tyTS2WghuMRiAaysLKHdjrG3LWGPvMjopaxP6GY/yJoQULMl2OHhIQlVddttHBxIvDQIAqyt\nSXx2Op2i5c8LdWkqXFPDuyzLOYybC6MKGAQBOdbj42M6/36/D4UGYGtrix7KjY0NcpBHR0dwHAcX\nLlwAICcyDbN4gU/b2bZNeHfduMZuGGM0GhEEcXx8PFecoV/wbreLwFPwj2OqXEVZoqo5KnVukh0k\n/5ZlGR2H+T7hrVVVIAxDeIq1kZcFQTvj8RhTBTnIgip5TM/z0GlLR9jp93Dz5k26f4Efoq9yAa7r\nUr6EMRvLasLMy4KYMbyq6fkBAJu7DQhSVlQCkr7mkBhTbvTkXQeV4BjovqVhD62edL737t2FE6om\nB89cxQVVccwcF9eVGFmeSbmEQClW9lfWybFWgtM7a1kOEhWgVCWnAp66LMF5oyivUWnMkd1XvAYo\n0bbSFMTZlkMBT9UYC845URZt1yXpB9u2YbZ6eDvpzE/LwwGAq95zXpXwFTS20u1jVQVPLgOqLAVT\nFZyOH8JRevKSZtgoFlTvMhcCFR4i+jxhC2hlYQtb2MI+4/ZEROTNWU/ABORSwEqTvwUty04Tpjo1\nIj9Riv8Yla8fazoan0t2nvi7/l93u7l49Wk4jjMHZ+jEYVkkc5KwJ/dzcp/auIpU1tfXab/Hx8ck\nIFWWJS05+/0+0iQlCMN1XfSXZBTBOaco2HVdippd1wUa3XJmsxkdp7k0LssS2cxI4uroOA4jupdZ\nlsH3fYqimkVEUndEXpfnmQa1Mlkmx+/w8BDr6+u4e1cmJRljxIjhnOM5VSKepikV1TjcIgEx5nmw\nLIu0YoosJ36z67uYTLSmjEuJO9/3keb5XGPs2q7pOjWc0W63ESnWRpNNMR4ew7NNsVXcidGOO3TO\nOvLnjMOyAnVeGSVkxYnEF2cVJRI555hM5equ011GopbyYeQTa6XX62OWJsSIuLOzi41lJff61FPo\ntOWKrNfvk25KzXIkKiJe39jEeDxGkiu52qiFSMnwlnVFz8IsOyShMM456tqcv80sEo6zbcNoEdwU\nPnHOCRpM05R4877vw/FcI3fMuUmcck7vT57nBNl5nodHLdJ/JGhF3RPb9dBXK6/VXhct1VRclAl4\nXVKxj+cy0BvUkCGuuaBFPLdMcdajuKsnwpEDTWjlxGen0BIfFlp5nEYU97FWRPM/cfJjglYevC/z\ns3Ycly5dkgUdhdHaCCP5IE7GYs7BNYt25o5zYt+a8jebTajQJYgiKuhp6olMJhMsd/vkfJvn1mxf\nZdtG53kymaCjlNt0xaV+kYIgoO0ODw9RZerlX18nmGQ2m9H5d7tdMMZwV/XcdH2PXkTOOTlLzvlc\nxaOeYErOsbW1RYqHe3t7BHmcu3Aee4p+p5kU+roMxc9WNDf5nBRFQdc9m0zJebMGtKNzBFNblLlq\noQAAIABJREFUOqzt7W0SPXNsj7BvIQRSVRBUC8PG8X0f6+vrdA6ccySpUvJrwH91WVGhVJIkZjK3\nnPmClLomqAsAykKJVqVj6lMLVyBJ9QQhYcNOKMc5m6YQqhpxdfMMhIJ2jmczHKscB2cWWoqBkeUl\nOkvLdD8ZYwQnTRqTm+u6yCvtmE3LCsakvotxZRZNTs1nu65rmhSSJKGcgOM4970DpC9fmIBhMBzg\ngw8+wKdlH0U/1JTVfr+PTUUrbbdi2ASZSKhJ+zTfcQlqrVlN8BBnANet4mzrhPLdw9kCWlnYwha2\nsM+4PTERuclKNstgT/DD52bGjyfNf5qaCw1k51T7OGgFMFrfq6ur1CUHkFGMqD3avslGmCsuOrHf\nZpGUjtxardZcqzZqlcbYHJSTZdmcpsWR4mhHUUTqhVEUIUlMdKyX6WEYotPpUBR+fDyYi6KX+5Ip\nUlUVwTe+79NKoRay8bT+23JkGhFblkXJRrnvY7ouzVI5uLsLxhju3JER/cbGBkEw08mUruvg4ICg\npSzP6foZY3ADcz5BEBhZA4sRzBEEhh9dFAVu3LhBK4eLFy8StOP7ISIVqXpeoyArTelcgiDAeDw2\n8gGQ0AkAcDA6F8YYcvV5mqYGZnMERaXAPGzDubn/4+MR3Kijfj6m7vJ7e3tYX1mFqwqHzm1eRTqW\nLKbhzhF29yQ7Z/3MJjZVodXBcIhaRc3LS8sSqtDSxaMjUyAWRfScWY5pft1kk1mwYFkOvUNW4/wb\niN2c5ntRFKR+qNU7m7Cpfn+KoqRzGY1G2N7eVvfFBz6+Qv8+exgeuTwHab12ByuateN5ELVuOG3D\nClwIBU85jkUJ65o3ZKQZSM/eZozgp0exJ8KRM1hwmJIeBTcZfHCQjCsENVLIWQ1bOTFbcFlhpTn0\nNUifpa4twFUvC2NgupiAWdQkomKW7ItIieImss7R7C4nmpNHo9M4swDOXLWNCwhVmScqU9DAUySl\nZAysbrZR8yGqUuKavRZwd1f+fLbTx2Qkt7vUY8gyeTGeH+J4LB1MltewQx9Zrrq1xx0cHR3Qqell\nZhD6hP2m2Qy2uuYoiuDZQJaogpSqwqqCMOI4hqsf2KpCHIRqzC1ycGmZwIXRuiiTCr7CdfvLfRSe\nplVZqNW+ZqLCJDPFLQwcdiTHbDAZYmN1TR0/opdSVu/JsTw+PsT7770FANhcWkWn08H6soRA8rLC\nzvZt9XONlhIQ6/f7VKXoBREiV+mulAWKGuClpS6TI1WSsswqaCJNyxKJKqgCZOFLoHFhXqOjYIdK\nADMlTzpOZwbPdmxwxewYJzMEvg8/0s0kLBQjeW/TJEFRmbZ5tar+cwMzxkWdoGp0i3ddF0Fgcimz\nkTyOZ9mYHUnWRpmmxEZ64eJZrK8t0bPx4kvfpz6f7XYbV5+V8rJR1IKl3MLGUstIwlYp0txUIAth\nxN14VSCd6YnQIlqexXhDAI4BML1SGStMn9R0TBPu9etbuPWupI+GYUj34ujYQ8d6Cp46552DAfpL\nMmBY7a8iVU0aXvzeq6gqef69Xh9ZlRH+LGCB62peZpEIXvPzKi8QqWfeZUBd5HDU30LPA1cFVtPx\nBM9ekO/MhZ6NdV9Bk2VKcFZpAWEYwGnJMU8hDGxig/qhytZ6imZZ5dASLI8Shj4RjvyjbL6R8A8g\nW/lDtOb5j8djisKK2ZSi0GyS0ueRE81F1zqC8TwPju8jLxSuO5vN9X1sivTb+iEMQ3LkOlGkI0fP\n80jJLo5jctjT6ZQiyOFwSBGx53nY398n8ax2u00RseRBy3OOooi+X1UV0pmMwIuigOd5CFQ14nKv\nP4cLr6vmvYwx7NyTPR8nkwlh171eT1LLaoOragfHYRKnk8kE/SXTLahSk2q73QUsg7kXeQlbdXFZ\nXloi0avJZIJafSkIAviuR0FGngmiHzquC08luIIghCasS669EbZqjjljbC5ZV+jcRCPq67U71C0n\nTVNwXpNQVp7nFIU7joM0kRPJwcEBff7000/j0qVLcvuqxPb2Num+L68sE00yDEN4VKXL5nB8+tmy\n5xOMD3gXGTOid01Mu9m4BMBcsjmwHFy7JpuPz2YzepYODw8Jkz93YUPWQigevGX7VGMwTRNqrPHG\nG2/QBFE9gr/QXZksyyJVSEB21dKl+KIyz1m326V3VjbcNityIzdgncD1513zp+nPFhj5wha2sIV9\nxu2Ji8il0NTpnz96h6AfvGnqIRFlTrBemjO1LshxXRdBr4c7H14HAPSiCHeu3wIA+JZHkSJ6LVoK\nC1gUUWZFiSxJqYu74/l0HMcxRRO85tTpOwxD2n48HiHjhunS7XYpikqSZI7NoiPIdrtNUdVkMsFk\nYtgxvV6PvjMej+GppSQTQKnoakVRzLXecm0bvmKa0PVCRoGDw+F949xut81SnNkoa7MctW0bcUth\n2Q0qXDKd0Tn6rodARcplPkNdC+pN6dhAlcvrnE1LWArIjf0QtaMwTcGRzqYoc8UochwUihEELqjt\nG4MDR79WlgXb0REtg6g5Vb2e1Ipvjg2t1IoCLbXMtwRwOBzQd1qtFo3t/u4e0pmMVJ999lk8/bQU\nthJC4O6OXNEcD8eIogiXnroMQFaNUuGZbUNrYNd1PYdR63vOXO8+gbhm5H0abY8xNkcXbMol68/0\n/wcHkho7Ho8BJfUaBAHWVjdo+zfefBNRLOGs9c0z9Nx0l9dwY+sGACXI5mlJ5wxwHy1WdR2L2Ciw\nanlfdeu2ukRLQTu9TgcrKy06T/3O1dwU0Rlm1P2Rt+CNSnU06aWPF6U/cY4caDi/x7yoPwszNMH7\nP9Omy92LosDhzh2jR35vm/S4Z8dTXLlyBQBw/ShBoDWzGUNZ6qrCCkWeE2bPeYU0lS+f7/sEZ/hh\nSA62SesqigKR59Px2+02JaiaS1udwAKk49CViePxGBsbG6RHLoQgR+T7PrjKXlV5Sf0LGWNoNapH\nOeeYqn6Mw+GQ9uU0kmWcc4JzOp2OSW6VJeqGAJPjOHB8OfCu65rm066LkYJslpdXqMFtnhXIsozG\nxndsyomlY5MsdTyXKhFRctRFjUq95A7n6CosnkOgVtWMsyKHY8t75gbmXjiej+nM8NWFEEafHQyi\nMpCF0BMWZGNuQIopdVoxwVnbt+/Q/Xnq4iUsLcuJzLIsol8OxyPidG9sbCAIApS1cZLauBDg3MBU\n2pFnpXHkzonet00q5MkkYBM+oWOoWoPmcfUzI0XjdP/XY3r+zp+/QMd/9933sH9whEtPqRxFVWMy\nlInwtXOX8N3vvkj3TOe/8iyD4xrJgIcxx3EglKwE47J5uVYGsAG0W/IZPrOxjn7fpettwlFzYliN\nhK8cl/sd9jxNmeFxGuUsoJWFLWxhC/uM2xMTkc9F4adFtffpfj859jDQCgDKzNu2jc3NTVx7600A\nMiL+4C3ZyLYf9yhyjqMAucrGT1SiEABaYQCLOZjqKDBJSJMja0h9Bl5ougIlCf0cx22sLy/Pyejq\nqMp1XaIFCiEo6rt37x5FTb1ejxKPAAh+0deyf2ygESqICUzRjxACSZLQcdrtNkWaAODaGg7yUCqR\npjwt6FzSKoOwarqeJM/AFJvA8zxK/HY6HVQKfhgeHsJVGiRxHMOLjDhXVZrrLB3fVClODeTj+yEC\n33RvEYIhjow2eZbK42dljoLJn4O6VIwEwPZ9gAtqN8c5pyIQizFKSnPBwVR0fLC7Rwk123UxHA4J\nTgiDAGfUKq7f7yNRDKQsy0gGth136fmbTqfgEFhW3YPyPAdvJOH0WFZVRaJfgjcKeLhM4tkajmEW\nnbMFI04nak7QhO1Y9C4LZsF3PYRK7rcsS6RqLO7d28F4PKF7o1dhRVHg2jVZ3DMajbC+cQa2qqDN\n8xxRu0fX9tobb8j7FLZQKAjRclzMx6qnx62SHadgIsHnRO9sZhHzJnQdLCk66kqvgyCQG+ZFiqo2\nK0/Lml+hnEannvcTDKJZFfYY8fUT48ib9lmCVrQT/zhoRQhBzqqua9y6eZOc4c6tLZw/L7m72STF\n5rp8QQ9v3WvoZFvwFcYr8ho1L+EoR+BYNpirMU6BSpc4W+YceMXRiqXjWVpaQuC4xIjRbbQAueTW\nE0GWZdSY4ejoiM6x3+8jyzJimsRxTDDFZDKh85InK//Lkgx5ajrSO46DfldCO1EUEZySZRnCjjzP\nVituVJZOkSRywqiEPM9QUQG5MLh4mudzFbPkeFEjncnjM8ERxzE54jxNMVWTD7NtOmnfMTCNbTFY\nXIArRgNjDBXRKWtafvu2TRBrlReYKqeSWBZsP4aecXlVQaPitm3TmFVcEPadTGdmLC0G1BxnN+Sz\nsbm5SZzs3Z0d5DyjfbWV4l8cxzQRCAakaU5MG9k/tkG0JV9jqjEdZ94hzeu223OQymmsjSbvXWvL\nN8XJNINGi1zp6ypUe7rr16/T55efuoqiavSdtV2cOSflI158+VUcq4kgiAE/UNWnLkeOmrjokvqm\nJx8DYMimMVqdDNBingwcFi8RqsljqROj35H7jgMfAjO6NtJWtw1rh/MajAGOa+DNOVPnIlkyzbFU\nVEQ8vC2glYUtbGEL+4zbExORU/TKTv/8zwOP/OrVqwAkgySOYwz3ZPKz0+ngcFtGJaLgVDGYJyki\nJcYTeA5V2WV5iaooYSuJ1iD0wIVOQpkWYEVRwVM63Z1Oh7RSoihCPplSdOU4zpwMrP68qipayq+s\nrBD80NRm0b/rxNV4PEavL9kwZWkq7prdfmzfh+vZ1BUnTXK0IpVgDU1VZ1UaedK6EjhWhVLC9iCY\nDUexEyzLA7PU+YsKtVrm1jUnoaw4jikiytMEk8kEcRSoa66oeXEQxQTNhGFoIsjCRPryIizweqqO\nb4HpLui2A6shA5yr75RVhSAy2jlVXYGrvzmOQ9cphECm2qatLC3j3q5cEQVBgOeeew5xR47Tzs4O\nVdN2u12M5FewvLxMUTjnHHmp2/NFsO0KqVq5AIZpwhkoKWpZJklpWZbRAOdiLiI/mchsMnD0Nq7r\nmmOcqF04OjqiylzbcunZyrMSh6qgSQiBM2fP0724cfsO+koDfWVtlVr3/em3vglf3TMBRvLEtusB\nhWEDPciYMBEtryo46podIYCaIwiV1ng3Ri+W5+lagnTGy7JorEJ86Fi6quo5Xv19ATn5MwvUEnIu\nIfrw9oQ48hPY0ZPHMvxIe1iMXDsIx3EwGAyIslYVOQlaHe4cgCmn7LseUOvqvylcTz5Ege8iigII\ndfumSQLLVkwLx4YQ9n3HXFpZJm3ussrhui45Atu2qRQ9yzLcU0U4dV0TRfHcuXNULl8UBVqtFjnG\ng4MD09G83UamIJCyLOn6o7hFbATbtjGdJjgcyBfWsix0OqaNnHaKWZZhluqyehudjjyXaVUjrwUK\n7dirmpp2eI6NjqKoRVGAqXLQtWDUIzMMQ4yPR7h9957aN0NHKRYura0byKko5/qaWo5HE15d1Kid\nkq5HUw4tZtGSnQuGWq/Y+XwRT11VNPm5vkfQFBqNJSaTCT7/uWcBAKvrazg4OMCHH34ov+O6WNuQ\nWHK320U/kPmXNE0xS42qZZlpMbMBkjSFfrna7TbBKQ1NPsmysDUt0Thi2+JzjrwJq1SN/BUTAq7a\nxnOMeykhnaQufBoNhzhQ7Jqnzm4QDq2DGAB49vNfIDjy3fc/QKvdoZ6laxtnsLMvKYvvvf8BWl35\nbMD2MFK5j8BSkyM7DXhgc3AE09AQr2CpHI0laoBzqNQK2mGIlpI4YNwEKVVVNYTuTJMIzjm4qBpj\nZQAdyU5p+AnCth7P+S2glYUtbGEL+4zbExKRP7rpyMDzPDhODa6SPVVV0YxoWTbwiD1CpA6INNlq\nrmGniOlIPq01t53RGa5JJ5zXJfGGB4MBer0eBmrZ7DQEwXq9HlKlD7LS7eF4LCPKyPdga34zGIqy\nxjiREV0njsFV4kQvpQHMaX5nWUZwiAWGMjFyrZZlUeJyPB7Td9rt9lyhUHNZPdfGrNejJfN0OgVX\npfNBENCS2XNcKt3X5eq6I30cx9QhJStKA6dwIMu1VGsFphJ/Fy5dxZ27t1RbMWB4NKCIdnvvENuq\nu/uFc2cpOnRcD7dUcYzrWOBVjeV1KYMbhiFFV/d29xFrPXFmoSTpWwuWxWDp7j+hQ/d5cDwmTr7c\nXhUecQZHrQJGswHWOyFxvAHg8mVZnHM0HJDQ09raGo3rCy+8QMfY2tpCWZY4d+6cvAbXRS1M+T+v\n9EPPwBXqNZsZqWEuBHw/MNxvxyatD8YYQSiM2dBRoS7iAQDrROpNCAPhNbdrJpibommtllyRvfPO\nO3Kc790jGeKqKnD7trw3URShqzRsXn31dfp+UXEsra7j6WfkCqXV7uD3/q//W96LIMKxkpUQtoO4\nLe/FNJHJ4ma7SF34JFsd6GvWzBXA83wItVIq8wxxK8CZdbnauXB2nQgH0+EQjtDfcc2KCqbtXNyW\n934OklMmC8KacfTj9DIy9tiOnDH2OQD/b+OjpwD8JoAegL8PQKs4/WMhxB9+zN6a+33Y438q2zys\nMcY+MYdGF73EcYxs4tJLuXfnNmIFO8zqKTKlm1GXOWrlmHldwXL1zXbABCAU7FJWgpaseVERTLG5\nuUkP1XB4RLBAHMdgjNGytYlle55HzjeKormGEU3stK7rOfy72cW8UJ4kCALSyqgFx2QioZyiKOAF\nEeJY/k0wq6ESGJqsP3PgqyVnVVUoVGnra+++B99xUTN5/FlZo5rJMRtOU3hqmf7dl19HqSiaaZIg\nUpj4X/sPfw6+75MeenE0IspbxVwcjqRTWFpaQqsnIaednT1Mp1Ny2J1ei8bPb7UxnCrK4mxG7J7l\nbhfff/klALJP6Xg8Jk2b0WSM6zc+pHHWDjvNc/z8z/88AOCb3/wmvMCnMW+1WghVqzXHMYJaQRDg\nOJcO7z49FIJGpG6I1oGxmGGUwGLKgd+v9a9horoxcet9N/VT9P3zPEMzbbbQ45xjMBhQh/s0Nb1R\nh8MRuorBdOPmTXz3e9+na1xV8JEXMKyuruKcYqrcuXsPu2pS5GBwdeGc7dEEJ5glBbNEA7bQcJLQ\n/wBMGJhF1BWYHlfXQTeOEet7UBUkyAdezvdAsNS+LEF49+lGaPwDPn88e2xHLoR4H8ALAMDkU7AN\n4P8D8HcB/C9CiP/pE53Zwha2sIUt7KHs04JWfgbAh0KIW48bBX+sBnCDn/ogXQf6/xOwW9icjO2D\nFd4eJyehk1iO48BxHBzck8vpL3zhC7j7oZRh1Z1kAOB4OkNLdXRxHAeu1l2xPcCyUOrTSwocqDZu\nq2sb1Hz5ZEf2spRLxslkgvNrqwSnpGlK4xeGJiIuy3KuUKTZgq4sS0rW1XU9F5G5ilngeGb5XxQm\n0cVhwXJsKu4AY0hVdH9wdExw0mQyQ17qpsQNnY72ktQtj2REt7GxZhgpHDh7Rq58jo+P0VbbXPvg\nfYrA37u5jTNnzsDryiWzU1bIhTwX7gZYPyOj5g8//JCgkOee+yJWzl4kzvP+cAxHJY/jbh87Sr6g\nt7SKawom2Nt7FT/5kz8JQMozuLzGkZLF9X0fYwUH2K6Lr/zET6hxKvDyq6/I25qlcJQqYxRL3R3S\n3hGCkpWcYY51xBvPv2UZ3rflOsROacIpgGn4zRiDoHfJSBf4OhpXJHnXcSh53ozO8zTDVHG6+/0+\n+l25OhwMBrJWQH3fdz3cuSWf+cCy8MqrrwKQ7wjBVKWJep9++nP44l94AR1FCviTb30Xt7flOFew\nCPKC7aHWBDjLwVz7pRPGDBpF0AqqmpQQ23GIjZU+uh0lVcFLlOqZZ3UBy1dQo32/H9LW1KeZ/5uF\nef/yydb7n5Yj/9sA/p/G7/+QMfZfAHgJwH8jhLhfBekjzFwweyiffJ/g+6cEqZx02J90v9RCjMnm\nBZqOeP2Da4hs1aexKDA8UoU2/S71gmSshuVo+p4HDhup0irPy4rgEIlry+MdDc2w9/t9BLaqjFSF\nIbo4JM9zOrdWqzXnsLWDHo/Hc86iLEsjqNQQgBJCoK0YMGmaEvzAYTU0YCJYtkv9NCshsH1PUjF3\n9w9Nk4x2hxwxsyzSJr9zPMNgMCBGzigx+L9tWVhnSsxr9Qw5+Ktf+BFYobzGe4dTfHDrVWLqxG0D\nbayv9VE58l5018+ChXKbQVrgGy/9CU1eP/uzP4drSvRsWgkEXen8/803vkWNOd54/zq2D+UYX758\nGU+vhqSdEkUR3f+1jXVqm7a1tUX5go2NDYLcglYE27ap6rIsS9NRvq4JQmGWRZWh+t4AkNWewlRa\nMts6FU4RjMFi9zNTfMeZu+dVVc3lTPSEDxjRryYt9fDwEDdv3pzTV7lxQwpd8SInLHxtbY1yFEme\n4epVKQD25b/4Fdiuh9t3ZfDz4ssvk9Z8EHdQ1QbaqDUOblsgpTmodnc4zThMQ3sO35XX1evGWFtZ\nQkfTbvMUtWqpZ3EB225SNs14N5t//LDsEztyxpgH4G8A+HX10f8G4J9ATjH/BMD/DOCXT/nerwL4\nVQDYaEcPnNHmExINTOqB25mI/HEc74Mi8iZGPufgH+FeaccZqhL39957DwDwwnOfx+svyogknRr1\nwSrPUZQK480KQFUJeoKBcwtcCVLleY511ZihyHJKPFqON9cFSJvneRiPR+QIWq0WOTXf9+llbUZE\njDHCxIuimOtk1KzgK8uSIsW0yDFR2t6uFxAHOohCFBVHqqiFkyTFRDkyL/CJO7y+vomiNjIC2gks\nrXXA3IAcxvbeIY3t888/j1I91jV3qMqPVxWcSEZzTgQkYoBRIV/y2Sina3n/xZdpvxfOXzIJYcfG\nT/z0X8VQCTX97h/+EfG1b24fYP2MrLg8mCS43JER5dqFKySUVt3dwdPrV2gMrl69SpIN3/z2t+j8\nf/RHf5TGr9vt0rPguK7kYWcmqU8rlLomjHhOQ5xzQzGsZdRJFYh6NaRMuzs216Hr/nfI1CgUc3kR\nvVIIw5Bopu+88w6taCaTCW7cuEHj0RTn4kVJ0gFNxc0rT1/FxuZZ2r6qKnzta18DAFz74AN6tm3H\nQaKkLIQAXJVEl62HmhE5g3lxOaHSTDT0yG0gUqvg5U4PvXZMq5GsKikv5VlsLmdkVjRNKjKHEHhA\nRP7p2qdBP/xrAF4RQuwBgBBiTwhRC1ln+n8A+IunfUkI8b8LIb4shPhyL/RP22RhC1vYwhb2EPZp\nQCt/Bw1YhTG2KYTYUb/+PIC3HnWHjwKtnDbLfdpslU9rv7pKUmQZsiwj3ehbt24RLl62CwwOJY5a\n84owSl7VKEsZVduOC8drmYjEtlFVOiKZn5ub2KeOaNM0RWwzipzi2FQznpS7bdLKmpGeZZm2Y00G\nRVVVhHFXvIav9Jtd32CXSZahqGrCxUfjMXrLMjrtdZfgKGGlu3s72FZFO9M0oUg5tdo4Pj5GpGCX\n8WyKROm4pIXA/tBgtG0VHU+OjjCY6h6TIYLeKmzbrFYOVUTcXlmnLuzX79yjMUpmGfKqJKaF43gY\nHkiYZDqd4o1rkoHSasf42re/R2Op4aSXXn8bP/ulC/j3f/qnAAAffPABvv6NPwUALK2uUEQftY1o\n1Gg8NlFrnqOGQK7us2VZcAODUeMEo0T/rx9Zvc7UBI4mZZCjWR5jaIWwzOrUcVxUlSluaT4zzX6u\nu7u79PP7779PeipCCAyHw7kiNP1srm9u0oqk2+3ic6oI6unPfQ6tturC4/i4t72Lb39Hju1kMkPc\nl8+MsB1YijUyzXPY6vkRj/G+uraDnrrnvW4bnm2jVm34wGt4Kq/gubbS5cFc9eb9PoJ/PDwsrFPz\neo8CzHwiR84YiwD8VQD/oPHxP2WMvaDOY+vE3x5mnw/+XJy+3ccmSh/R5iaSxmefFPHSDzXr9bC8\nvIztmxIjvLi5iXs3ZUWbDYtekLxITCUgL5ErKMANSoSB5GYDUjRL82ijVse0V+OGw2rbNjmFJEng\n+c58I+BGn8z5CcLAN3pcPM+bexFPNhtotpCLdEmz65Ijn01nSLKMEpmcc4IpLNfBtuJ73767TZOP\n54fQXXpnWQbBHIxVBWkr7sBxNV6eoFJYOnMDvPrW1wEAq6trKBV2Oh3NcPfuXZSlmpga1++zCenB\nj6cTost1+0vwqwoD5aTi2EPQUrICvT7KQu7r2rVrNK4r62u4eUdiuj/5U/8Bnn72c/jWd78DQApF\naR75s88+S2OZF4WqwJTPXKbop3r5rh2x7TpUgZlnGVHm5vjdDFS16TiOFK2yjYCTwcVtMGYqWJvP\nf1P0CjD1G03nfXh4iK2tLQCSH66rM4uimIMfhBBUwdwMDDzPI8rmF7/4RYKzqqoyipkWwz/7vX9O\nyWY38E1SnnOEaoIdZxlV0z6OrrfjOI0AR+ZOskwGUFZdwVX4eeA6KAkX/+hk5wOZEeLTAETUeX+S\nLwshEgDLJz77xU90Rgtb2MIWtrBHsie+svPj6Icnt/s06IePdl4Pv28dqdSDASaTyVxjYx2RtrwI\nI1suM+9uDwnmmE6nmCmWirAcwPGR56Yxs042JUkCXyVuOr0lijQPDg4oAup2u1hqmapL27YpGdoU\ntyrLkpbCjDE6hu/7VBQEYG7Jbds2SYKyBvxiey5EaSoRp9MZJlN5zIuXn6LY6fbdO9i6fVcdJ8DV\nZyT8VJWcor7zTz2PM2fO4NatWwBksnSaysh5NJ4iUeN0c+sOLqrWZtMsx97hMR1/MJ7R2MStNjp9\nGY9srqxjpFY3e/sH1Dy5rAVqMKVxDRRljVvbN2g8NQNk88IFioht18N//+u/AUCyibZufJOEoi5f\nvkwFYWAMti68ms0owdtcMQkmmSY2N8t5vcKaTqfwA9N8m8y2SDTMtm1ZdamSnLPZDHUjCUcVnI2o\nnwmtCQKMhseIoojYHbdv38Zrr70GQMrN6ufHcRxaUVZFSc9S1G6Dc262s2xK0Pc6HerXhxq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mqAME6PsLEpI72de3fQUw/vUn8Jb7whObVfeuF5bG/L8u4LF87h+tZthG2Z7CyyBK56EYMgmFMy\nLBuiWfqBLIoCSZaaUmQ3hKs6yQjOqSydwYajcOjJeEpOcandg+14sD2DUd/bkbjqt777ErwVWbGJ\nIESuyvJzYWNPCVDNigLcstHuKVzasqnbUVXWxD13fSOMVNU1sslY/ZzC9334lmpU4fv0bIxGQ8KB\nsyyjiWxj4wy9bPsHu7hw/hLx3/f396lb0rM/9iwp3O3cug1XOcKv/PiXsdnt4J4SOvvav/kjPHNF\nVppevnABVy7K+7e1fQu1wqjdwIVdq3G1GIoyoTF3XJfOuSiKuQa9eoKxbZs40QwAZ/MOo/k+TJWy\nZlNiwbUZipm8/rvb23jl5dcoCveDGC2lDLl+9gLeeFM2RQ7iPr7wpR8BAGzvD0iorb20hNp2MVDd\nf/y6wJKafUNwZGoVkE0TRD0ZRR/NEoSreoJ/Cjd3BvgX/+pfAgDefe8GyQVEnR4C1UkoywpY6vMg\nCClS181PTAPxpiBWM8FpVsgWOMArWFCrXQFowrvjM7TU8+y7XiOpXNO4Oq6jBOLkDqu6pspal3RJ\nH2wn6Yc/SFtg5Atb2MIW9hk39iREuZ/f6In/8xdkb0MBC1wtDQU3KskMFSwNE/AaE7VEG80KHOcC\nu2M5U98+ynCUKjEn5sG3TTsyNbHCtRm0BItrM7iMw2KNJWxDTGhO05jdPwu7LFNdhTQDwfRFtCx7\nrsNRqio2l5c6uHH9fZw9I6OV//F//afYeVsWXlg2B3RXnJ193FTCUOubZwBLRipbt7fhBTG++5Kk\niU1nOZZUlWhvaZUiirKqEEdKA6PKSZJ1NpuhtdSDraJdm1mwtKQmF3OiEEzo87fhqL6IYdyC4/oY\nK2hoMBxSe7I4jnHnWBa97B8dYqxavdlBgECLKYGh4BxcrQI4mOyABBWdqqhpY30T//bVP71vzBf2\n58O+vC6ffxZ16bNm13vOMK9vBKmron/S76wlOEEesnmXic6dYAlcsbWKJIOjntOza8t4SuU4OoEH\nkctnlpcZOoqps9yNEQU+bIXFc1FRVy55YFPd3PSjD/KpD9qmubpqfv6bv/s13NwfPFQ4/0RAK0Cz\n3PXEZ6fQeU4O0w9j6fKR1uiFeOIP9JMF08hhd3cX6+vrODqSyb7X//Q7ePoZiYXXRY6pcvhe6CNs\nSec3HA5hK0e6srqEWVLDhsFVdZUi47UU64EUHdNNHrIsA1cvSK+/jNoSpjGE5YIr+mJVc+K+B16A\nQFX8ccFgKz4tFwzH0xkyorwx3NuTk8T2628gXpcJLQYbQSxf0pxXGGeqca1tywo9dZ5lVRL9znId\nWCpBuHDif77tpT35/H/58lXzoWiSB6z5joqMG1hcoFFvIrc1Wzacf80hVGBggcPTQlmuSwl+UdcE\nbQW2NZ/IZIa7L9N3+hf+0JDwafZx1aCPagtoZWELW9jCPuP2xETk2h41upbbf7RW+Q/SONRyjhIs\nZna0MB+o66KdMGyB8xo9pYH9W7/9O/gffvMfAwCCMIarIohpXZBo1nA0pcRpK4ywdfs6Ud7W11bg\nKJiiKApqlea6LkYqQTidTik732q1MJweI/RMNaRVy31lswSZipzLsgaESpa6Ho6VBsrBcIjRLIEb\nyeO0e30sn5FMD6/bx63dgTo+Q6WSSHld0YrCDUMUVYnj0bHat0va2K5jGvku7N8VO9GekALSEwlM\nAVqhWwBF5wLMcH4Fo5UeANRVCV5pOqHRGo/DkJg+VVUi092mejFF6iYy5yf+x2N1DPuoaPs0Aa5H\nsSfOkQPzMAs56CaRb64d1YO//8Nx6qctavh9f2NCClIBgB/4aLdbuHdXslA45/it3/4dAMA/+u/+\nW4zGEv9P8gS+wpXXgwi1WuONRwm2PryOVltyejc3z+DOtmSNVJwjVjxw5pjb63kevFBV6fEagRea\npWVV076FkJAMABRFhUKV2F+6eg6O4nQH7S5WOMex+v1wfIxM8bAdz4Wljs8ty1DhHAeOYrkIZiEr\nSqSKV+9CNCheNXqd+NSR/vee/pK8LquYc/ZpmhGbwXVdoilazCGKZF3XBBP1ej1wzqnJw5kz57Cx\nIWl2K0vLuHhOdm5/49Xv461XZcXh3/vFX0A2HuDLX5Ja6f1WgMMDOea2zYjmV1Y1EsVayaqaMF7L\nseE5/lwzDn3OouZzL7iGzOI4Np+fcAAOa3ZuZwjUqxyGAUIFgTFLED48PD7C+9eu4dqHknVzPEnB\nlQDVMCnwzBdfAAC8ff0mjmeadRPj3MVL8lyWQ1RpAq4E0TqWwKUVGYicW19GVcpx3t69h69+408A\nADvTDIk67ajfAws6+M7bt3DS2BwD5XSTBBkBzg39kTUctik9EfNDVdfEVPE8F+2W4qVHkarUBKqk\nQFXrOggLjqPHdR635hBgepZh7HE6yT3QYZ8KszzCfhfQysIWtrCFfcbtiYnIT9MneZhkp4zOf9hR\n+MMaBxNaXpQTvzcIAlQVh6fac9l2Cy++JDuv3HjvOiVF2+0WNQj2XZ+qPw/2h6iqCp2O3E6KXsko\nquaMpFJrkRE/tt3rEg98liRohxEtJ6fDCWoVUduWA9+V0W4YBBDqEfn+91+izkNOGAGeh2GmI/IR\nKnXfQhYBSmjLcV34qjuLZduYqCrB4egYeWk60mdFbppMlyUV95w0HSH5vo+iKCi6ZYzNtaejzjmR\nS9x93/dpLMIwxPHxMVZVJ58g8JCqDjGjQxsfztS4HE/xy7/0KwCAlaUYM5fh1rbUxNlzgXasOOHc\nkmwfAHlVIc9UQRcXjToCC0WV0znXdU0/AyAev+M4JEmbpSmtmhzHgee4VATlOA5cW7OjLLBMXltg\neySxWuY5mJDnErk+lns9bKgoOknvUvesukjx0ovfBgB8+S//NF56820AwHh2jOvX3wMAfCH6PKos\nB1SxlvA8lKpqd3v3EPu7Ugfozv42hom6L66PSOnmCMtHkhiufNPsB0a25k3nNI7NP+vouAGlYH61\nbtU1QZBxFKDTls+c7/t0z3ij25LruvQsyc9OPznLshpNnh/OmtDKRyU7H8eeGEfetM8StCLYxy2B\n9N1m5LgEB4ajAdbWJP1qe+celldkxeC/+IN/iV/6pV8CAMRnz1Cfz1maIG4pbfDAxblz56i5w/7e\nDi2ns8KIQ6V5CddXzQM8j9T2AGA6niBXJfNFnsOzleJgGCFSxUUVBwqFLz7zzDNIVMeIveNj3NrZ\nwUBVLSJwYanjD5IEsSsnmBqCmlR4rkNa2M3+kIAugFHMAhtUUHPSdC/QoqiQJAmV1Xue0ZwuipI+\nl6Jf5mXVXd8ZszGbzYjpU5YlySdwVPBUEctKf4k0u+/dvoHLlzextiad//bdG/AjVRbPODnPoiiQ\nq8mX11RwCwELSZHRNTvMolZvlmWZVnuQUBcgZRVsle8IQx9xHNPEZDOjZFjXNVxVRMOLEmmuhNNE\njThS9zWKsNLrIplIR76zu4uBUi90bQauJp9vfuvr+As/JiuIX3r9LdRcfr53Zxv9doyOL5/hyPch\nVP/Q8STFYCSPmZU2ovaquhKOVD3+WS5IHuCkzTlndr9zAyS0IgBSLBQMNLgSpjDPNm92p2clqSw2\nxbF8x0VVpLRZFBgpg6ZonN4/7a5BJ34c+6h9nvz8UWwBrSxsYQtb2GfcnpiI/HF55BpaObnNk2BM\nYC5c18vinZ0dbGyu4fBQsjuWlpawuyt1SHb2DyDUMtvzHHS7kod9VA5Rq2IE13WxtrqMHcUOybIM\ncVuWW9fCQqJ0vi3LMh3NqwqpKkmva4FqOoWtCpf+f/beNMayIzsT+yLi7m/Ll0tVZi2shawiWWSz\nF/ZGtbpbrZYE7RpI48EsAjQzBoQB7B/+5fHABgbwLxv+ZcCwAQEey4MZzMj2DDyWRpZH0kit3tjN\n7iabXc21WAursrJye/t7990lIvwjTsS9L5lZC7sFkVAegKyX991393vixHe+851Wq4UWFQ4lYeJK\n9CejCcZU9JNrhozuxTzPoASDoGi/FAJjis6H0xlEuyqUsBH5vMgdzBDHMZgQTlAqCDwnJdBsNjGk\n9m4HzUaHRVFUejD0d6VVUolJTadTtzzLMpf4DMMQnc7Sgoa7jchbfoKUis1OnzkJ263pyaefglIz\n5CSo1F1bRW5nEUo6zetCKjcjUBKuxF8x7SJwZ7YIRKkKJag1CW83W04LO0kSJDUNdlVKSCock0WJ\nRJjIXWmAeRZy8lxHHC0VAi4ctHBibRVa0Awly6Eo0r++uYM/+/M/AQB89vNfwle++nUAQKQZVhtN\nRB4lmaWGpmvjhw0EoXl+vHmJLDMJ0ZlUSOltFUGIxhFsJF5/oxcC0sUIXtVmv1zDJT4ZE07WgWGR\ntSIYd7OYVqOJJnXJ4jAwGAAEnKMZm9mZx8WCHg5bSJ4qF/n/qH7mqCj8/fLIPzCO3Nr7vUB/lQ78\nwfCKMauHEccxykKhSVh4v993FaSyVPCJ9THeH6PbNQ5aK+YwRimNHoSFChrNzoJjsy97GEYObx9N\nJ+hRd3k/DLDaaLuBJQ4jhJZpIrXTIMnSFBlVXCoxxcT2HGVGn5yTANH2qI+SXqqk2cDOjmm4sLKy\ngoRe3lk2d1N+4XsIQg+cKuPyosCM4KAoirC5s334BZQWSigQhpVWd57n7v5HUeRe8DRNHYMlz0o3\nqLXbbVy+fNnpblv2CAB84mOfQBjQANeO0F02L/h4tIPuchOTmbmHgQ8Hp2ho18FhAfuWvMJ2lUaj\n03T7yuZzx2JSSjknH/qB69l5YnXNnZcvhMmFZLVnwNLqNByVLo5ieE0L4RVIZ5Z+OsR8PkNIbezC\nwMNkar5TPHBMmSDw0OoY+OXGO9dw8fHzAIDpVg8oJTLKv8zSDBFVMxuRNvP78XgCUF6oLDMo0q0J\nvcA1KTlo70FT2HshGE3nebAT/UFTYI51pSh3Zt+HegMPlVc6PMyraImc8/coGzrH+iO6mId10u/H\nlx1DK8d2bMd2bB9y+2BE5JpBSdtwmGNR/NWuU2WQlVKVJKwoIWWBsjSRCufKcXrLIofwSXYSDIyi\nA8a1+8xhciau3J1XezWRgj0uHC7TqALM53P4Vqu7nSCm0b3MCxe1BYGHXs9AIesnVqAAjImvKzRw\nYpnYBPPUja5NtFEMTNTQ5F2U2sAXb7/5Kt6+fhsN0oYuWAxOxT2jdAhlC2+SGP25iaB644G72+12\nhJPMdxz1yTwDJ473uMxQNsyK98YpBp65rtPxBGNiLPRGE6yeOuMSoQgSxzdnisGnbjFZMQdI90Zz\nE8Wai14g4BxBZBZMpyMXXc/SAmGycsiFBlonDYe7d+178LzAlfXnWqMklcVxMXOsl6TVAKOoSyDD\netco7F053QX2b6L/8rcAAM9/5CP46E88CwB4dzYBUa+x1DqDdGKkBxoNgcBTaFPzYVmkGFNXHaUU\nJGm9S6WhCLKC56Gkz1JxrMgRBBWFIU/BrZIf54hDSsjFEaLIRI0NZICycgsMgnNwO7UXzEXujDFM\npnfNdlmEnNT+CmnYJQDgL63CZx6mPVMWH/AAK9TY+ObWPUxJ5TCJGkhzs89Mc3B6aLyA4frWu/iF\nL/8sAOCd11+Hv0TPT5njZs/sv1dOMOV0ARseBL1nGUqgODzZOfWwAGfU9cNtU20lJZRSsNLtQgiX\ncZRl6QrmPS9wrB/FgLWgxJkVcw1OdRhYbs5/Pp2iTXr2zTCEr6htnQwh53TMOYfgPoSwdRkxtLb1\nDgxcmBku1zWuuVJQ2nZ1YoCqdFRULSFr/E2tzuSwKFw/PC3mg+HIP8RWFAUC30dAXkop5focqlJC\nwN5gz7FWyrJEXmsawDl3U+4yL9zvm5w5HDaIE9y9fgMAMBgNESWxg0AkOKYEmwg/QEQZeJQKiqCR\niFX9OztxA+kwhaSHZzpLsU9wSAaG7inTaitptHBn1+h0Z4xX8raegKzpUyjNHC7sicDRt7TWlYZK\njRZmB1H7G9O2zeYFArAjHsvHqKmDKvsYj8fwVVWEZOmDYRg6aGQ87IHR/iMGfB7bob8AACAASURB\nVPFzpn/m9u3bePmlb+Nv/uqvAQCevvQE7tw2hSp7e1OsEkVvaWkJlCLANB1gMJhihRmoJY4CzKnJ\nQT6fIyfRpXlauql9FDYQUwFKEkYosi2oGmWy0roRi1TC2kt9PwaWruWMLGTghyGYFXNS5soD5l7k\nYVxJF4eh+03g+/As00fXhKmkgqQASeU5QsFd/mJ5ednBVkKIhbwEgipH8qObdXZVdabdJ6dcEmdV\nwwjDRSapWmZkaG17OsG4qzTWWiMIK2qqlaq139l/LYxpFngLxUtBTDmWugAW46gzWzSr9SdQNTol\nqvXqfX3r7JtHocY8lCNnjP0zAL8MYEdr/SwtWwbwewDOA7gJ4G9prfvMHN3/COAXAcwA/H2t9fce\n+oge7nje8/mwZQ+vdP7+TUqJqPZSyFI6TnY92SmldHj3PJthnmWOjud53OkcF0WBLerN+eSZEJKS\nazkUrr17EwCwN+ij1VnFrE9ViypFmZmBIPJCRLTTMi/hE/0uCmJExA/3cwXthRhSUlQJH6Utc+MC\nU9vVRWr0CNdnYYKSWxw1giwVNWA2jlwV1slXDkpqDeW61VSNIIQwzStKimKTJIGDlaWEPIKgayPV\nWTrHUnfZPed7u9vQ5NQFOLTtGQqFjRPGKf/MT30et65dAwBMB338jV/7FVy69DgAYHtnB602NbK+\nt+96g06nU5R0LFEQwuPC9SAdDEaQBeHVRVmVgSsJYXFtBoT04vsMyOcVrZKDu7yE7/sIKakZCM9x\nx02yv3YBGKv8Gqtp3TOGgKpWvSAEbFNlyWAVO7XWiJICRWbWazabrq4gigL4dF6eBLRNourczY49\n2oalw16+eMEdVhAE7p6XZQnxIzjyeuJT1/yYBgc0FqpZ641abPcrKSW0je49oNGIq6bhQrgKZKCi\nHCZJDNB7pmvPnlJGpMslr1lN+VBzQFR/L/ghXbt/DO55kDVHbkr8Ccuv/f79eqyHxch/F8DPH1j2\nXwH4U631JQB/Sn8DwC8AuET//TaA/+V9HtuxHduxHduxPYQ9VESutf4Lxtj5A4t/DcBP0ef/HcCf\nA/jHtPyfazMfeZExtsQY29Bab/04Dtja4RG4/azfs/wvyxgHOK+y0VLKqrIwCh1GnqYpFNHt7Dr2\n+IIgWOj7+dZbpovLM1deAHXQwvb2Pm5vGRwyUyWaTCEgLLrIS3SbptCBMQaVkm4EgIToYp7HITOz\n/2w0Q9Fp4fqdTQBAc6kDj6IzBYE7JC/KwghJ22DCo+kczOK4jTZyKR1eqVSlGxGIwGF7uiwdRY4x\nOK0VxhhKJR1UEzLtYCfOOOby8ArA8dhM65kfYTxNMaBu99l8gtPrhKuXGUZUxHP65Cp+6WeMzv20\nv4/xrnkEP/fZz+Dy409g87a5nnX6Yrvddv1P9/Z6ENyc5MpqC81GAzKjCtDhGJKqaQVjiG3FZRCB\nW216BeQE+RTTKfwyr7r3+ByhX03t7YzO8wRYjTVhtT0YFiEXzVFNvRkDp05OTPgA4fJMM2huI2qG\nIAgcHNJuNdCmnpWNOMIoo1yCMrMKgCqDKURsRhG4x3GbKlufOH8OGc1IGnHiIJsgCBaYJXUtq6NN\no4pFj15R1yCUOgOEM+4i6rIs4dN18cIA7WbDzeQYYw7eEIIhjona2YhQEv0017lbR2tAqQLS6qPX\nugcpreH6GGJxplDh/Z4pSnPQS+2+YnG2dfhZ/5ihlSPspHXOWustxtgJWn4awO3aendo2Y/NkX+Q\noJXQN1WFJU3HGYBmg8SZWm2HIxd5jtQCrpyhEcfIrcPiPnx6kUejEd6mdlyp/hR84r3uD9/BiJxC\nEIYoisJVJk6HM4TUMLjISkeFi+MYESU+dSmRE/wRKoatSYqbO8YRNvMSjY55EeZliU1qQLG2cQrL\na0ZMapDehqAWakmziXw4dhxlg7VX4lhaOs6du04KulaJyCGVdvSv6XSKuNlyx8z44VPznBK3rXYX\nr37/e4io9PpEdxkTSiRPBzs4d8o49Z/9yU/By4y2+7UffA9f+txPAgBOnjyJe1t3XVI0jmN3nxgr\nnZKkEMJhxPPZDD4PERCW2kgSjHrUj9PjiH0LjQTQsuKnz0mWIM9LLMeAZ+EpJtw9C33fJcu55y08\n09VnbZxyPc9gH3MGSJsE1RU4USjl8Fkm+IKUQaPRQINE1OIwQOQbRxaUBZjFo5WGpqbKUnvQmjku\nfpqmCOn5q/dP9TzvSIogP+J1rCuGHrSDA4BNatb7nHqeX4mRFZnLkTSjEM2kUjnUsnAU88irBk9f\neAZTAqCKEppXGLnWrApMtHaa/lprzKkxd/0+1QM0Tq35qhqHyt3yWrLzYL2MO/cjrslh9pdBPzxs\nGHnPMTHGfpsx9h3G2HcG6eEl2cd2bMd2bMf2YPtRIvJtC5kwxjYA7NDyOwDO1tY7A+DuwR9rrX8H\nwO8AwNMnu48cOn9QoJUgCEylodUaj6rpq+/7FZvDq5gpXuAjCDxHWdOsKuKJ48h1Drr29nWcO3eB\ntlWxQcIggsol/IiSpYJjSpGSYB4S0ucIPN9FQVJpeJQEC+MIqczQPmk0xL0wwIymk/ujCWYUue+P\nJmAE02gRuHy954coy6FrbxcIDwVVXTIFFCTUBM4quhxjLmpS0AvtrXw/wJhawkFzLC0tH3qtLbSy\ncvIUpDKRNQDEXOLGO2bC99TGEr70mecBAKeWGnj5JUMxfOETH8GZkyZS397eRKvdraIrwREQbOTx\nGWBFk8BcElpLBVErvAm5h4SicA8azBYr5amr8tS5gqctS0UjFD48isoCLqpWe9Buu2KhIKWKwDVn\n4Fy7qsUFvSFeT5wxJ+YklYKosSA45wvCbfY5DYMAIWF4XsYcnCe0cpDFbJbDS2Jwek77gwFOnTCT\ncO6JxZlxrWG02/f7nRzbewQGoIItVCkrmEUp2Gw51xoJReQryx3EcQhNFMZSaQQk3duIA1d1q7Vy\nmjhCVJW1RutJOAoo5wqydh62yrcOk5hDsv5HLvggTy/GzczNWPmhvupRCjx/FEf+/wD4LQD/Hf37\n72rL/3PG2L8G8BkAwx83Pn6Y/VVBK57nocjSivJU0wCfzWbISCFQa+1eHCmLhQovpSRKetjiMHQ6\n3S9+9ZtYJs3x86fPoRWZqawsFDhjDqphZdVFPIoiBMROKZV02LsXBo5BMk0z5FGA9rqhGc6yOUqi\nKc7BIIgyN0wzFBODFwdRhNKKQSlgnuYVFgjmsv1FlkOqiirmSsqhUBBeDglwJhZU5uyAV5blQpVq\n3WZT48ifO/cCTqyuYUJNM9J8jKfPmnP51S//BFaJB//6y9/GpbMGGrp4+iRGe0YGYbndBgRHf2rO\n7cTJZWzvGlzdyAUYCCfLU4e3dpotdFoJZGau+WgyhW+dqiwdXi4LCW5xWMYdZCJ8H0lQlX8zXqn+\nMaUdrY1Du3U0qxw3h2lkYBUgUYNZzDX07AdHf4RgtjDCXGvPcxCI9DgC0t0OBHcwmS8YPNt+Vmpz\nDADmUkJq7TrP3717F1eefBKAwa3tvYzjGHOizx60I/SwsFiKX3N2B3AVDSCidyhDVqOzanuaiHyG\nDskQrK+uIArmFaSpFVrUOjGOY9ebtywyxxQySonk4JXB4W3DOSUrNUutmetna/62/9ZYN1pDo5KM\nyMtikV5orwtTUIdwyh/Fez0s/fBfwSQ2VxljdwD8UxgH/n8wxv5TAO8C+E9o9T+EoR5eg6Ef/oNH\nOJ5jO7ZjO7Zje0R7WNbK3zniqy8fsq4G8J/9KAf1IDsKVvmrMO4iKZqacuFglnGeOm0MzjlaFCmM\nRjnKsgS3EYFUjmMshECDeK9vvvIafuozXwQAnH7+STQ8s3w6m0CIEKMBdajnPlotw4OOowYKio6n\n6RxRbPbptVqYkjbLzb0d9FdXnaDV1vaOy6zP5hkapHMOLtEmfvJ4lrqIPC9L5HkO30ILXDsedaEy\nSOLXBl4ARtNXphhUTVLWq/HNe72B04Q5sbrqovODxrgV8xpgZXkJs765Zs2ohU8/e9Eci5K4+vLL\nAICVZozzGwZ+YUUGn+b3ZT5HstTCRtvMdq7dehdPX3kOAHBn9w1omjL7nCEgbZIoDBF6PlLS/S7z\nApy460yWAB0zV9KwKGC44za69Thz03rA8MjtswOlHbvJpMCqiEzb6j4mFp97rarEJ2OmoTUAIXzH\nuuA13rUQAszz4HnVLKiCc+AicsGZK2Lzar0Kfe6De8Ixj+5s3XUJ4nqk32630a9F5DbOvF90yfTR\n0bqdUSp7TW29hpRu2x4X0Laghwm0qAXhUqcJkeWQVKrLtIQvzPsQBR60TZDKEl5QFWRZ00wDWriJ\njxK1aJ3VDg6LlZ3SFR2xBQgxLxUW1WJ47Z+qUMxdrEfAVj6QlZ0LDyz9yxkHty3IinxBi1kpVeGv\nStU0qDXw3pnMfa1+I99bov/eQSPLMiNG7/r/5ZiTIxCsUh8UTGPY7wMAlpaXwTiQzqn8vtlEabl8\nvLrxq61V/Pv/6/cBAP/FhaeQWEcuJ5hNJ4hJNzwII8Q05e2NJgjoc2djHTPC4TdHA4yJ9TELfdzZ\n3Xf7mUnpCkcuPPkkBiMzQIx6+5iPDfae5zliGhRmsxkuXryIlF7Y3v7AOeVms4mphVmKAp4tDlFq\noclDlmXwvOpve93TdIrbtzcPvTc790yqZWN3G5fPn8V/+IFpw/a5n/8STq8amuTOzddxlrDz55+7\ngsEeCWMJAS8yxx8kDTAhXGXkY+fPYTgx59yIfdy+ZZDA9bU2Tq+btm9lnmM4mGF3yxybynPkqbk2\nHgNCOv7AEw5OCVgFpQgwI9lgn23fg9AWi1euoEnmVS7BDwJ4RFFkgkNBu0G6LMuqMtTzIJilvxaO\nfpiEUYUpywJ5nrvK0tD30GpXPVzZfp9uU4nAiqkJgZye+VIDw+EQMiCVyFYLg5GButZWVnGSWuVd\ne/emu8+aKadBLpU6EicPQs9RWWVZOBxaWowa1UBUZ3poCpgKXcInbCVuxGhG1OpPFZiMR4iJnRQF\nTUR+9Tz6nq245I5yahlLZif0n90n15UPYHBwkj0ewDj0kq5xURgBNVvdbJvEmIOrsVYUWxiUralH\ncOTHolnHdmzHdmwfcvtARuQfNjPTXPvX4tjops9glTYFM+XrbkRnyokD5WlOozWw0T7htC3+6N/+\nAdqxiTp7qo9WkiCzTJmkCY/KjUPNUNJ2R6XEgJKtu6Ox46HPS4m0kO54osRDRtPPWZ5jPDG/kZqh\n2SKucFY4rvzu/h4mkwl8ivy4APzARj0eJlYoC1UBRamUm6IKrVBqwKNoLUkSpwe+vb1dJfQOWE7F\nOLevvYbnrjyJn/qc6WRz4cw67l1/HQAQQOPMKRNF9/f2KwaJZk7GoBQpPBGBCTpOETr9lyQOEFAW\nkukCkW+LeyTS8cwJZflcYaVrWDBclbAhpdCGxQJQstfOnjmDJyp4RIhFudRKz0NWs2+tHUxiokHt\ntGO4ZvUMm4PwFDRQ4+E7PRUhIMIAklH3p7l0dQjdbhdLIzO76BcMw8LM3PKyQEoolwp8aF7JAggh\nHNNo/cRJB60Ai2yVh4E+jZTF/QWiNDiYZg7O0VobFg8ApjUEReSN0EMUUIJYSXAoV6BleoHXk5F0\nobWswVmy9j2H6XOl3TFoZn/DXem9OWfzWTK4bk+cL4qACU85dhFQn+BXkf777RD0oXTkf5kFQQsX\nUlfbqH1cPBYYrHKBTOCK1BTc9EkbcSUAmBgX5yhPSnuO6ZFlmXvBmq1lSGqn9d3v/QBnzpwBAKTz\nAt2VNhod47wzqeBRZZ8OFCbUwi3LpkjpARkWJfYm5gUtNFEIa1hsSfNZzYSbCoIzpwcTc44RtWDL\n0gxQGj4dZ6NRFV0AFUYolXKQkao5cqVIJc5CxEo6mKUoCiRUcXfQ7It799obONXy8ezlSwCAwc49\nDKiI6fOf+Tg8cgoMApqZ61JqVmGaWoDrimmTy8y1Z9s40cWImC7NJESPmC6jYR9cSecIGo1GxboB\nc5okXCsn5uT7wuHiQghDRaw9r5xXny1GLiGdUxPKdzg8lHEWluaoAVjpDwYgc/ooGmCkoVPETv0R\nHgdTCpww93rTkaWlJXRHZvC+N8khpoT9o3TX3P7Gvh/C95zu/JOXLrvKTlEfrMBQWidWo1K+19SR\nGHm93lMzIM3NuYWiRtnTEiENJJ1WwzWwUDIHB4Nn0SzBKuerZTVIahzBj1SEzR/CqmHKKUMyxlzw\nxWp5CU1iYsxRRqvBTmkNWVNJVNpW09aP4xhaObZjO7Zj+2tjH8qIHPjgFAS91xTs5JIvjJPaNX5l\ngkPKwgWIpZJuahqoAt1lA6HcureLPiVIy7JEgyLqqLWE/jTFamK21xv00Cbu+LxQGBEDJucePOKE\nszBCRtF9AYVOp+v00afpxCXYGo0GYpIYUNMpUuoIs1BA4vlI4hht2rbgQJaa2UaaTt30VCnlpq8K\nmpjQxK9VlVZGvcQbSsLzD48vPGImnDm5hHbIcffGm+b3KsOli4a1snHipNNgiaMGMpKXZWBgFB3z\nIAIPQ0iKoubzHDO6ZgmTOH/ecNK77Q62t0xEPh0P0Igj18knTVNENFtRWsPnlRKfk0TlAtLOVLRC\nVIMfANQ4yQZqArBIapDKReeKGZjKlv9DazedZ0yhYdvuKQ1JpAAuKn41h6GGWB0X18UIME257fSQ\ncWjLXQ8ChMxsd17OTMLVzjw5x87erttGXWuFpdU15xYyYIu867pxfWSvehyMNa3KYRDVyuI1Q0zn\n3241EYek+FjM4UETN9yU4gtX+6AcawVcO06EUqqauIHZuTOdg3YFUooBnp1tg7l3XfMKWvI1hxZV\nlyjODVADAFIrMCnc5woJqH9+eP/1oXTkHyRoBRZK4VWV1sLXVTNGJxsKpjDPNOYkOpTnOdoN8yJk\nWaWHceGjH8P06qsAgCdOn8FZglYiP8DVq1eREzbhxwkG1GcSQeSqFAEPRWmuRTZXsElzP0wQ1qpO\ny1y6qWEcxwtFTXadPJ/DJ/3tqBEj8HxokAhXVmJGmiKz2QyKWjNqzo4ccOu2sbHh5FGLLEPS6By6\nXoOKOb78qY/B4wxXXzE0w89+8pNOVrXf23dUTA5iBNB5lKQBEyoGj3kur5B4AWAra32FjKpZt+/d\nxs3r1wEAw8EAayurrucjtMaccH1PiMp5e76jwikwKAvfaIkkrOGjii04LysdW395lSycZrxHFZMO\nKtEMFWWNI6P8h1KAsloxvnYDCeOGEaJKM+AWReHyErPZHGNqtTeepk5DpIQH7duqRg6o6nwktMPI\n87JAQpS/RqOBPSt9XNegZ8wNPIdblUs6/Fvumr+Y81RWLRZB6KPRJEG3JHYMliJLwZl2TBTfq+6T\nVtrlTzyY4AqwRTz2EhutFYuLG99A6wEAieAxzt17rnXlAcy+AXdnGXeUY6aA0tFPq/NmqqosfZQw\n9EPpyIEPUETObAT+YJTKNoLg4qDiXhOXLhm8986dOy66eWd/D7d6hvs9AXCnZ6LzMPDgc4GJffnG\nU3g+JTs9jTgynGxZlNjdN8nS3u4QIKeeNBsm0qYHudlsOrxOCIEZDQpSSgTEr83zHH5ita0VJpMx\nJGHmUNrR2qQqwDnRv7h0lYVcanCrysc98x1FsVGYYD6zkX/gePQH7dLjJupea/p4+eWX8cmPPgMA\nePrSRdfzMwxD2CY8a2trGFJEneYlcnKWpS8RdBgiW5YfAQE59XJwF9feMonTt956CwO6/p7nYTIa\nYokGiWajgf4eVYP6Ao240vlu0YDdSBIErvkCQ14erHg86pmhgUAph5FrySkit2XpuhbhSuTSnL9m\nDIIULxn3oalbT15qlPM5srlJao5GA0cf3NrZxi7RD8fTGaaUFE7BoKhilUcCZZG7WVVZlk5yYjab\nOUfebrfBqJF43ZHzA2p/i6erXRxkhrfqurhoFsbf2ZmbUoWjj0ZB6GaHoS8AS+UsC0MTpMHM8zwz\nIMJQG23zb625ozmaBD3oM4eGdvkPDQ1VS3Yq20rKZDXpc80XKAWmlSM8SKWdd2ZcQ9D9Y4JXlHJd\n92VHXK9D7BgjP7ZjO7Zj+5DbhzYiP2h/VVortgsQPxTW0gsL6rUGWmuEpJO8fmoDzzz1NABTdLG3\nZ0Szfv+7r2NE1ZjtJEZBKpFnN9bxxRc+h6cvmAh1596uK6IZjSYuCpuVCsM983uVS3QaBlNv+jG2\np7uuqGqp3UZhi1C4qFrIyQKCGCTzeerWL4oM6XwGRdCQ71XYoxDMYK5Y1OBQHlxBl2nt5rvv9vb2\nHJyztLTk9n/QTp822PXt61fBihxXLj9B55Zh1Dfnee7C45iTboxiHmakwZ5LBk29F70wgh8kDgue\npjMMCSbY+sF3sU965gwKZx8zwmLNpIXZNMVwZCLXfq9XCaIx7tgpSSNCt2Oi9pWVFawsmc9JkkCz\nSmd9UaJWOPqb+ZviqxpGDiiCVipJVUf1UBoJPUsKvNIm5wwlRY3T6RSjfg8TEh67ffsWRlQEtT0Y\noTc0kXpRKscgYoq74pxQCBS6kiLO80pbfTabQUoDh9kK3fp5un+PCDEfxFipm29zAWnu8gVRFDnY\nknMOaVsQlhLc566Hr2kPRwVVhXRMIc20YyMtQCuEj1dQiyRKIgDIhYhc24pZ7UHbvIZWBr5xyRBZ\nqyfiTlLXZAIsDv9ezZWHsQ+lI//LLNF/Pxj5wp/3GTvsi18UBQbDIYK5eSibzabTeX7ttdfw8sum\nJVn0xDnktNPl1VXXf/PiE0/ASxJcvGxEi7rdNWzeNRWM+1vbmFhHxkNk5MjacQtNahLBhE8t1Spx\nKzvG1PnAtmch/QFlqXDCgxAMPkEoVsgIAPRs6hJqvKbkx7l2jtwut98Nh0NHhfM8D7du3rrv9dvd\nuoO//bf/LkbE6daMY3V1FYBJQj595SMAgBdf+o7j2isuEFHzitZSF41GAylpje/u7uLOXVM1qidj\nbJw0qn7JhaZreOFxH6PRBEOCWqbjmWvJl85T9OfGwWNbYys2y5eXuu64ms0mnnl8fYGaV2lYM7gE\neY3it/gsGh75wneOBy0wnVAjaM1QEh6RS4N5m3Pcx73NO+hT8+XJZIQZVfqO8xIpbCK4iYgaeSvt\nO215zsuFcvOyLJ0jz7LMOfgoiirnjRrXHT+ed9U+n8Wscrh+rWcu00BhGzarEkBQu+Z64RjeL2fb\nWl3cTdB1UqJ0foJRib5Stq6CVS6EKQfncFYtZ2yxhd/D2jG0cmzHdmzH9iG3D0REzqDhUXWDZAJ2\nziEZMx06zEpOP1ppWY1m3EMoJEL6fQSFgKY8eV5ARJU2A9e2i4oA6LPmHAqiGitZJSlqin2k+1zp\nB1cjeVH6KKVEhyiDJTQiohnevbflpoJhECAhDYjeaBvd1WWcXjeaIDKb4Xvf/DoA4Eufeh7ZrkkW\nvbqXYVmZ32eb/YquONcYzwr8z//bvwAAjOdzRJRsmyQJQBDKvFAYK5NgizwG4VndDYlplkPTNVxZ\nW8OblOAbDgZ4/JzpVn/r1i0wimg9zdGiJGpRSKhSIStsUjlxU+rRuIeOJunessCYYCItAkSJWSf0\nQrRWlxyb4J0338TlC2afo3t3cZoYPD+s2G3mOr1mWCp/79d/A3k6dVoZOQAVm20tn17HzaEpVJn4\nJfZyAyWcXFnBUts87msR0ComuHXNdGKavPE62rk5z/XuGmYjA+0s+wHSHXMum9s7+NjHn8csNhH2\nYDjEcsPAJkIIbJEGS5ZOHWV01OvhLjXMbiUN3LrRxfnTRqr/0vlzWKEEHdLMCTsFQYCQ6J95nqOw\nwlx+CSF8F6WVhUJKCWKmM2SBWT6ZTbG3a2ilkyzFD35o7qtiAnu9AUqCE5ZWTiDsmP2cjlpgRKvM\nsgITquwdj8eYU8XoDW0SroIiX8kYvIhEzyZjPLdiqlyvXb+B9Y4RI+sNBxhNqUE445WC2AHL81o8\nyaq8oQfmYAogM9E2MYqWWyECeg99mSGm2V6D+8i0eWcafoDT6w236bLIgML+xcEpKSy1xiy1z3Lk\nJtlGzKteCXoggg/s7JU71qhaWEWDoZJrFqigE0PBpdmVqtWqaeX2Lx9hxvCBcOR1Y7Vphv3b2F8+\n3v0gq9NgLYTi+aZNm2vpJh2pCO1Wo9LjViVkbl6QC+fPohmFiInO1x8NMJoavDIOQmxumYd/7nsL\nN3NlzTiRQkmMJzM0SaVwu9cDoylnVuSYziwtDI7N4kchpsRD7/V68CLPTfun0ymWCMsdDodYWjID\nge/7jnLIGHfnOJnMoBVDRCJUcRy7UvAoijCfD+xVclPhXBmaGwBojCC4h6RlVeo6yNIZXU+OQW//\n0Ov/+c9/3vyeM6iSQdCxNcLICYWVhcJgYJz33t4+Oh0zwCqpsbpiIJMw8PHiiy9i610D4TTDCIy4\nxzMFgNgsg1nqvEpvNsNrN67jFDniRreLO1TZ6HleRV9stcGI6ROHIcYD46xLautnKX+j0QjCDpJS\nQquq52RBDKKgmbjKWI+Z58yCYFplUDSdF5xjnzTUN/f23HW+s7UFnwaLLC9x4cknkRG1cDLLXWXv\nNJ87Ma4sKzAjnfY0m7vcCeAfOdU39QKVLEHd6hj5+3uDa79i1X6klAgTohw2m07WoSiKqsr6ELzh\nUeCUB6/76IDGUds8qGP+qHYMrRzbsR3bsX3I7QMTkS+O9rZTtveQgfj9BXcOt5qGhFZV5LBINEE1\n1im4CgSmXHSeFoWRsaXthaEPLUlb3POgKIqVqkCTGgyfWOnAN43EAACdTgfNxES3Tz/7EeQUHf3B\na7v4whdMw+A33ngDb157m7YFxI0E2rO87DtIKcEJxhy/1g98LC2bKW8QJhgMTEKMewJMGLEkANjZ\nuecgrNFo5ApvgiBwetic8xprpYAngqq4AhU7pdvtYn/HQEPC952YlpBANsM65QAAIABJREFUSi3k\nJpMJptMUO9vmN+urK5gNDATj6QLBEVPwCxfPAQC271xHVuSIPBNtdpothDF1T9IaJcEkXHPElLh7\n/MJFF41+65tfwztvvumkY5eaDcfd3x7tunMZjIZImmZ2cmPzLn548w6efHpIl5nh9m3TYzyOQyx3\nzYxmdaWLgioex/MZQpKKPbNyDpNezwkqzSZTeKThHjEGwW0FJFBQSOm3EtdazfN9wBeQVAIqOSBI\nnjUMQqSSJIo1x4SexRkYJLFpxmkGOc/Qo9lKlpe17vC6JuZUK1oKA3iUx9alqXtwyVZgoUrUJsXr\nxWQHmxLrw0Lk+5peIA9wVLlTKUu0KBHd7XbdfvJijpCeS5/O/bAI92Ei4wcue1DDZM0B6Lqncb7F\nVje7bdWWW/vwFQQtHHGVzV1Y5UGVYXX1tPtRRwDUL3fluJVbcLhuMoeq9diz65dgyLIUDU4FOUJU\nDRTyOUJSYvMEw8aqcQrlbOzwfgDwuGdquwGk8xIXLl4GAPzKpc9hShV7Z85fcNj729ffwXa/j6UV\ng0XOywIDKrePGx1wotkFUcOJXg3HI0wJvmgvdTHNBs5hzec5pgTtJI0IuyRA5XkepoRxci5ciX6S\nSDAI9/KOx2NXXLO0tIStTTr/LHNd2EUQIqRGFL7HUeY5CmJNqDx1OYrRsI+f/fxnAQBf+/3FO7BL\njAvp+5BKgdlimyBAQXhjnuUOfuh2lnFixQhgzdMS3/nOdwEA33rxRXgeR5dgl83BCFobBzdMU6eN\nPZlM0O4amGFaKuR5CWzeq86ZIJStQR+blAs4Mz6JNbovGyfXnCpiOp9jtbvsSua11q4BCQIfPulk\nC0846YBSK4QEX3lxiFxqB3Vw4UHScz4tcly9YWCi3qCPe1SQo5nAiKosFRjy0RR7tqgsioxeP4zK\npSDKYhAEFf2wxqABCB6xQk+1+1IUhWMUBUGwAKc4qIVzqCOgGa11rSy+8o8MVYjGzYru3fQYR7tJ\njnypA0nPb1GUELEZlH3fuy9kcRg76CB89L4gD334gLVAbdR6oT1cfbk7lmPRrGM7tmM7tr8+9sGI\nyAHU4ZSKU3kgWK8XR0At/O5RrVYEbEqJNastr6JztxarvtWAOzC/0UA+GSG3xQGzOVY6BkJZP7GG\n5baZ8o96u4iIATMcDtFqdWHlNYJGE5r2+fpb77hOIl/ffR3PPvssAKDQGt955RUAwGA8QqfTwQ2a\n2hcaSAi2Yb7nys2brbaBpwCMZz1kVFK9tLoGyeYIAqvvkrnzNB2PiN3DmJNkDYLAcaqLQqLIpYvo\nsizDdGYi9yRJcO6cKVSaTKcYkc71PC+hiN/rBT5CP0BMOh7DQQ8Nat1+cm0ZT15+HIfZ7q7hyq+e\n2QCLIwQJJRLBkJLWS5EreCQXutzqIiQxsT/8wz/EOzeMbkrUaGOe59gkTrjmDFMq8ffaS8hIekBF\nCaYTW5wk4CUh9onFMZnnINUV+H6MaWHWe+P6TczpPDvLXbQImpnnO2ZG4xpQK5SkwqE8UUVktaRg\nrqTr9C4ZR8k1PCqFF4rj3l0Ted+6fguv0rMwGAxw716VhLXSC9AMzWYTRM5AEIQoy6rbkNUDkUoB\nudVjKZ1sbNAy8IVlWiitXfetsiwXInJrjFW6QYyLI7ECdWC5fe00O/ieKnD6MolDtJvmDkS+h6nb\np4ZP+zQzproK2eFR+EE7KnI/uOzQ0zk0GrdMFVXd55po3GJEXv3qwwet4MFFPozp+0MrbsUDN6Fi\nL7rvzD/1XpuiNkgs/t4NE5pXBVo1p57mBeD5YET/Wl1Zwbl1M7V+/rkryGdmavvy7m2UGWGiPkcj\nCjGZUS9B7sGPjfNJ5dxNjfvjDL/7L/4lAOD8+fOIW8YpbO7uIpd9tJcMxr164qTDO0ulwKixAPOE\n0xnnwocgZkapFZqNlsOFy9KoIQLAYNBDRH06B4OeoxUyVjXGAAwWGZCT9DzuqjH3e3u4eN6Ie7Xa\nJZY6xhH0R0M3zS+y1Ghg2AFDFijIwf38L/4Krr31Bg6zMDbn1ZvNEPo+QnpOCqkdHBJ4IXxO17Is\n8I2vfA0AsH13B0VObJCGBxF7GO0bqGmaz53D8ZgPRD6dl4cxVdb6wkPQbOIssVaW2k2885ahL+oi\nR27GK6RZhn0aIL717ZdwnoTOLp4/h6y/C24doaowZq9WqCLgQ9N14VI6YbUgChEkTTf4jgcjvH3L\nwCkvvvgN3CVq6HA4BCc4ZpZlOHfugrn+/T4uXbmC1pZx8vuDPpQy96aErFoqcg7N7XUtnZ54APMM\n2PZj9bfkoCM/Clo5QvxwQWGwvmENmKYtZExrp5Wy3O4goYBFlqVbLwp8+AHdS49D66r/6/0c9Pth\nkyz+bYO8g9vhVWMKrV1laL24CmCHDjCPwl75gDjyOkYFF50CNfH4++JFR0XliwI8dbP+nmnDEXeq\nZDXRrfoeNYMTz6nvLS1KxL7nyu1feOEFaKLfrXRbuHrTOKVRbx8bJw1e2263MJ/PoOjyb+3s4t6+\nwfjW1s9iMDUv715/iLV1UyLen1b85KjZwsmTJ5FQ954gjHFv27ygpQbAzAAhRzPMSfbT90PX13OW\nzrG+0kJKNLU6Zcz3fUczTNPU0RKn04mjK/q+oMYQ1ZUoqUpyNgPefsc4mDAMK1qiH4BR8+kiEICW\n8OhKZqXCRXJ43aUWfvjyFg6z9pLBtG9Pp+BBBEa4sif8qkagBPokFHbz+i28+j3DPV9d38Cckov3\n7u0gWVlG2DLbmww1OHH8B9O5m3mkswJeaK7xUruDOIrwE1/4EgDgyuVLePV7BnN/543X8Nor3wMA\nCAhsnDT3bNbvo0fCWsvtJUTTaRUtcg5N1ZRFUbiBxPcY4FfyuFbethklSNpN9Kjh9g/ffAtX3zQD\nyfZggB2fcgR5gUaDrksQo9NddZ+fufIcTm2YZ+gb33rRRX9ZlqOk2RrzBALP5lhCp4ppGiQsJjut\nlWX5UMlOdcQ7fNSbXY/JGEXkgmaIS+0WAqKfzmcjcHLYcRiAUhfwBDvA6/7RE5+L9iBkevF7rZiR\nwnXbrq5tfQA47Bo/yI4x8mM7tmM7tg+5fUAicqCKc+udqfViFU4du3Yh9WFY+QNwcyc9C4DE74+W\nNbAUO1DbJ3NIdg9JM6nacQF4+pkruPqSmc5vbm7i6tWrAICyLDAnvDFpdDCYDLG6bqa9u+N9vH7t\nJgBg+dTj8JokQFRy17NzOJ6iQ9VzeZ5jfziGpsjprRu3HOsgTprwiZY2nUwwI6Gt06e7WDthZgTT\n6QycMycOFfihoya224mL/LMsc/h5v9/HY48Z+l+SJBgOxyhI4jTPSzflF4JhSq3mJuOpEwYKPYGI\njstnhj5WUhELkzm+9IXPAQC+8+LX8cxTT5kfvbh4JwJiI3SiGJ1GGx2KqIVkyEgidjIa4/pbpuHE\n177yTayfMtFxb28fcxt1MoG9vT20qcDq9Jmz2B0Y1k/TTxDTlP3O3h0nj1pkJXbuvosZiUuloxme\nesJID185fwEbbTNz+cZX/hQdgqbWzjTBbY/NQqIsS/i2aYPHK/y49vBxLsCs0BiDox/GrRa8KMb2\nzg0AwMtXr+I2QXCNdgcr0Srdixw9YtAIIfDOG9fcPRv1RvAoZ/LYyTPY9cx6ZVZiMpu5z1ZMqtTK\nQSZ+TUPloOmamFZ9dlePyMGOBkZ1nTWGg5G4MaFM1EmpFDSj0LVwy+YpIqryDXzm+ncyrg5C5AvH\nfJQ9PEZ+1BkdiI9rQluVscO3qyrdHX0UFnWIfYAceWWLGJtZJsDAyMlnSi1chDoWZxueAuZBtpiU\n8LirUoyFQEg3W0BC1GhNzVbiBPMluHNkIggRUCVZfzREGNlUl3Gyd26ZRNzXvvYN5GPjID/2kc/h\nsz9pqhGvvvKyE/y/sbmFxtIaxqT7vLXXw5d/8VcBAIX28Pp1M03Pl1Yg6cXLihKK4IN2dxlaa2ze\nM/sMwhg+Ufs0Ey5ZWkqJkGiB6TyHR7zaGzdu4ONXnkRG++ecO7x8PJ6Ck074ysqa05wOwxDvUiXk\nlSvPYDqdOpXBMGDVdRLVoNhdXUOPONVCCFe9uT/cw6kTKwgoL3DhySvIqRo1Cj08/4mPmQ38LhZs\nf88MMKq7jDOnH8POXQPBTPb6OLVsqjZvvH0Nr37XwCkffeYKtneNs0oC3+G9igOhl0CQkwx8HxfO\nnQcAvPXmLdgX6WNPXnG4fhLFyAdDXDxjpATWOl2ojPTFszle+PjHAQCy38M3/+LPAAA//YXPYUiD\nZammCLTCnJph+zp21aCMVVTOUinEVA3rBxHWCI7jnEMrYJuu52g4QUD3PI5jlCQrsH7iBFYpwRoE\nAW7duGmOkXlYSVrufopSQRDs1vIjcGoGkmZzcEEJxTDEnN6LvCiQRDFGQ7OftfV15CQRsLOz4zpJ\nndk45ZQIb9/dRJuUINOiXEiE1o1zviDgFtJ6siyRzaw2fonQ87BxxihgJnGEFg3skW6inJMeOxSs\nmFg6mcGPaoJuB0XHasut1QcfvQC3vne9hebZLmOrD2ybOajYQCg1OMUei2K1Cu7a8mPRrGM7tmM7\ntr8+9sGLyFldg3mxMGihbdSCzrFaWMd9xzXqmMkioYU64oBBsEqoZnvrntMwYUxUcEgUuYrLpZVV\n7O2ZqTgvNKIgwL6r4ARu3jaR4m/+1n+JX/81U9zyd3/z7+PFF78NALhzbxcra2dw7ZZJUKqoga+9\nZKLIsNXFnV0TeXp+A1NKSDIeoNGpRJp6vT1kVMG4unYSU4JQxsMhWm3DQAmCCIyi626365KY7dYS\n1tdP4c4dI93a6w0QEuwRhL7TrTjY6d1GTWk6oyk3UUY5d306y7JEq2Om+XfubuLkKrFh9rax1DQR\nVCuOsH33Nj56xRQ+MZnjT/+/PwQAfP4nX8DbR7BWTm4YmEQ3l/DmG2/g1PIaAKCzvoEX//yrAIBb\nb72Di+dM4jT0GE6smGvGPB8zOv7tQR9bgz6Kkbl+zSRCNzaw1WefedbBYe++9jpOnjTCZkKl+NWf\n+Tk8fc7AS/vb99C2s5jJBD2aHcSM4blL5rx0OkeLmD4729s4sRaD3adYpP4vYOCQFkE7pfAxnMww\nImin0Wji1Lo5z7NnzyL9ljnm/Z0dRIHZZz5N8cSp0wCA5555FhEAn6LIWAOcovNyNoMmdoyAQiDM\n7z0mkFuWDd1rz80imINTlJQL0IpdRwixkBA/Cs6QqAqCxIEo1GkacYEo8JDYSmGtjAgWAFnmjpbo\nc+YgF3V4Zd8D7WGhFdQYKIdv52Akf4ByqN4b6dcjdXUwU3sf++A48sOcN1OVyL52/zNURFb/zBac\nT/0zDnX+2gm5M25aZtly+UYjxjLR+vrjiStjl/CcMJUXxI53W4yGmE0nmJPQ0B/8v3+EX//VXwIA\nXLhwASGl0L/6nR/g537zH5rt3trEn3/9Jby1aaCR7776BlhgXti4NUHrhHEeb965i40Nmko2W44+\nN85n8IIQLcKIpWYOQhkMRu48G42Wo+V1OkvOCQRBgHlaNQZoNpvOkWsolKVtLCEhZfWCWrx0NBqh\nKHJYCILz6uErygyssIOPdlBCu93EbGwGqLWlJsrpPh47Zc5zf/suTm0YaOSFz34aV7//Kg4zW4af\nlxpLURO9XQNbbF6/gdsEIQiu0UqMIwpEgC6VyPtxDBJrRBJ50KrAmOCgWEpExJ0+c+Icnv3FXwBg\nWr1Zp/Txj34czz37EWT7Bto4s7wMz/ZynHDsZub3K60GzjxzxRzXrRs4d9Y4W6/MAa908nj14uX6\ny8u0dsTqOEyQEFc+A8N0Zw+jvoF6ptMpyoxOSAJPnTe0yDsckEQ57bTa+Ogzpg7h4sWLuLd5F3eI\ne86yApo48SwvIOxxeQKhLW1nzB2vdeSWglp/HlSNfiiEcBBKGIZu8GeMLzj1utXdlWJ1x6bg0cAT\nehxJFDspCwGN0lYGFzkC8t6BLyAIGuLFozvyBznxoyCZimmiF7DtRXaKqqiI7+GR28+1np38GFo5\ntmM7tmP7a2MPjMgZY/8MwC8D2NFaP0vL/gcAvwIjBf0OgH+gtR4wxs4DeB3Am/TzF7XW/+hhDuSw\ngqCFZVy7ofsgtFLvNmMjdPf7Go/VJUEZc62dODVzslG8F3guiiyKAp1VM+W+fvsuNCWX9m7cRkaV\nnI+triEdjfCJT3wSALC60kG7a6LLrXs7OHfRTG1/7jd+A31KTn7rh9fwf/77P8EWtWGTYYyEouvN\n3SFaHSvAtI7z502VpFQK/YGJQOfzDK1Wy8khF4V0HXZWVlZdq68oipBThyCPC9cgeT7LkOc5otAk\npVqtDpQiGd4yd1GohkSamkgzDAOXKBsOh5BSuqpPwy+m5suSYY9kaLtLbUjSikkaCeSMuM6zMX7y\nhc8gocKNsWD4tV/6RQBAmWYLhUd1m87MMcZeDJlLfP/FlwAYPXPLQ1/ptJGRPkwUhohDggKEdoyH\n9W4TsX8aQ6rmTIsSkhoRq2gP86m5fp999il3zn4+w86ta+5YJmEAEC9dFnNwZdZrxgECSqSXRQrQ\n8lazgZSlQFEl9azVWR/1KC/Pc2jaRxDFiMME68Q8CliAEXHK81mORmj287lPfwJjWt5uthBQa7Pv\nf+ubYIxhRuykyXAfimDDyPccvz2HchofUtWOizjkVpa4DrVpVbFbGGPuWYyiCJOpeZeYL46OyGuV\njQvvvNKO7BAHITqNBC3SamcACjp+rkoHBwUeh6B3uxDvD1qpH9fD/u1glIPLFRx3XCnlCp8OJl4r\nFOXwhOyD7GGgld8F8D8B+Oe1ZX8M4J9orUvG2H8P4J8A+Mf03Tta64899BEcsIMUp3pBUL244CBe\nflg1GefKKa4dXMdicR7T4Fq5NmRKKozn5kU4c+4itqlKb3+/D0UOcjjPsULFMadXT+DzL7zgXvhC\n5pjMzQO+duYJnL1sptm/96//Hf70K18BALz5zk30JzN4VIH31Ec+gdffNuXjjZVlnCUGhR91kFim\nTL8Pj8SwhPDN1JpenqWVZedwl7urjmnBIaoO3lK7Ks293R5Onlx3FaRpmlZNwAWHfSyUVrUBspoK\nTqdTUkOkF1mLRdjKNREvkTTN8W/vbGGN9Md9meOZpy/h1e9+CwDw2U89j9UVA2H94JXvI4yrZgB1\n6y6ZAXK2s4ev/cl/xL0tg/FfPHMGHXrBhZbokiyCzIvqvuZzR2Vtej6aSy2s0W9G0wkm1BJtuHnL\n5RKywTYYvXheEKJ/r+VK+dfX15HPjSM5sbqM5Y7ZJ1+KIQlmOX/+HHKCmYQPBDyAor6d9W7pSlXX\nWWtd9ZKU0nVzC3mASPhYpnZ9jaCJacMMWGUuETTN9vLZEDfe+qH5jR/h1Lpx/KP+GP3+0LF44AkI\nbXu2NiHJQQ/TKebKCsIplAR5ChFAa71wnNYxM1Rt+LTWjrUSxzEG1I4vCEIoebgjV8xWWC++/1pr\nCIJWkzhGp9VGRLAPU5mTOxCcuyYj5vCqqu1HFfB4FOeN90AoFlrR7vvF8nsGVatUrQZvtlD9WW30\n4Y/+gdCK1vovAPQOLPsPuqp9fRHAmYfe47Ed27Ed27H9WO3Hkez8hwB+r/b3BcbYywBGAP4brfVX\nH2Yj1UisHNHkPXBLjddZRd0cnNegkgPR+mHJTrOOFekyxH47nYyi0CXFzp49jZdeMYm3/UEfjSUT\nhV+5cgVnz5tini8+9RRu3rqFHSrFVpzjxi0TKUbNBv7j174DAPj291/Ba2+aqDuIW0hWlkz7KwD9\neYnTj1NHeKWQUuSyv7WDBkW0+/v7mFDX8yxLsdRtV0wT4aFP3d1XltecDHCWZeD0ucwLlxxtt1oL\n09wkSZCQGFM6n6BHcrFgJSLi4SolFzSfG0mrSnbVvguCAIwiMlnMMSU2hJQFplMza/m5z38Wd27f\nRE4c4csXL+DurXcBwHSgZ1UD6LpZzfVXvvltbN3axPpJcz+eOHcBo75JQmpVoEH84kk5c4lDoas0\nOpMKDAIhJZNarSZAOjY3t++g0zFsmJu3biGh5FoSLSP2gNevm7L4tW4L+7uGdaTLKTKaBUBVbIog\n5LizuUmLFVbWV1FafXdZn5Zr020dAFQV0clCQdsoNooQeCEkaboX6Rwz6vgU+j5u33oHAJDN5zi9\nbuDA3e093LpplkMCm5tbOH/BCJJt7uy4uoqwEUESnDYpM1eoVWpAkWiX55EkLL2Srik3fWefhbIs\nXU1CHMe1ZCe7L7SyIHHLKpjJvudh6KPZTOCYUlq7VoFRwBAQqYAzQDt9ofcrqVcd18P+XY/I68ve\nK11bS3DWWC2LeizancvD2o/kyBlj/zWAEsC/pEVbAB7TWu8zxp4H8H8zxp7RWo8O+e1vA/htAFhv\nR6jUD+uUQ4WFSk++yFQxn98Lm1TrMSj+XkfO+CKOztwEmnQjSDek1+u5h7LZaGOdGCTrG6fRbBiY\n4u7tO3jj9dfRJnZLVkqMto1T1/0RXnz5+wCAUZYj6RqWht9oYXNrGx5phdzr9fGlLxkNj5s3b+Ib\n3/gGAODU8lk3TRWiKhqRUiPwIwivqgCzuHY+n6NBlYmj0QQRfc7TOTKCZjrNFra3t9EgaluSJJhn\nZpo+GPTcC+f5vCogEVUlYilz+IFw3xm83BxLGIYo7cPKGTKCfJI4xMaqGUguXX4cX/3jP8IzTxma\n3t7erqsmPXPmLPIj2AZ/8sem0Gb/6mvYWFvDKrGLZqMhAkt549zdv0YUwSNHxKEh6FliACCrpgWe\nqPoqBudPo7dv4LRL509jZY0KjW7dRsDb+PhzT5trO9zHBRIH84PKkeV5Bk7PnwgEwqbVxvYhfM9h\n3lxXzUm0WnzZ7fs7n6WYE8YcaaDdbGKNGoVM/Tk0VevEYYRMmwFnd3eGODH3eXmlXWnQMIFZOoVP\n4m7tpRbmNEhoDpQ0wS6ZBHOVkYCQVWMLVUoXTElZDd6+77lnpixLl+MIgmDB4R/lyBU0RA1asZrn\nTMNVaUZ+gGaSQJKGu2AKHqlnRlGIwKtBPtri9VVe7VHsoemHh+ijgFWISOW0a6yV2rLDWSvvz5G/\nb9YKY+y3YJKgf0/TnrXWmdZ6nz5/FyYRevmw32utf0dr/Umt9Se78eEVX8d2bMd2bMf2YHtfETlj\n7Odhkptf1JpappvlawB6WmvJGLsI4BKA6w/e4CPv/77LjiocOixxyhhDPbktpXTR7d7eHr785S8D\nAN569y7WTpsIrDeeYY/0LDZWlnD21Gm89H2jFb47nCAnyCTjAqFNTkXA/shACflwhpW1E9ihbQxm\nffzZV40+y6c//Wn8+t/8WwCAciThUaTR7y/hFOmG7O7uYDodoyBNk42NDbSpe1CRSyytGRndwWDk\nIqLZbGY63AAu6blC2i2TyRg3iZHR6/Vw4qRZ7gcMt2+bsvx2uwWayaKuMw1QFFmLztLhmC5miZVl\nw8DZ37qNn/7pv0Hn0ken1cbHP/ZR8/fuDtYoeTwYDHD6zHkcZlevvgYA+Eh3GVwDU0qksVaEZsNE\nvhyli2gazQSw/Gamnc6JYB4EBBRF/nmWIacS8yKQOEHXLy8L7O2aQp+nLl9EoQHPN99lpaw1nA4w\nI60SITSE7dwzGbkOTdzjC8wp1FhY9em3/RswMyWbeMVkgjIvEIcU4SPArG/rAkKsr5uZw3KnjenY\nHMvaatc1Uu7t9nHy5BoEJTWXvDZ6E/P7mZTIKHFYKOm0XoTH3PXzPI9kIqgIqJagNVIY5pjLsqwk\ngb2qQ89ROi0PMifvKwR830dJzCUttJOc8H3hInet88V9PmJE/kjJziN/fyAJWivxP7I4aCHZaXVj\nHt49Pwz98F8B+CkAq4yxOwD+KQxLJQTwx3ShLc3wCwD+W8ZYCaMQ84+01r1DN1wzrYFS2amxDxAE\n4NVhFiUdjuiLACo3TpEVEkwqBHTxQs4gLC0qy8EJb1OcQ1IZj0QATZga80L4nu+y41mWwaOp0Gyc\nYWfTYK9rjTYe6xoHd6LRwXBsnMi/feMWJpMJxspMJ2USwCNeIGcexlYSNsvQJEnU4XCIfJQiIRnT\nZhAjLs25vvmdqzh34TwAoJjuYEZFD0Uhq2eSz6F4AUZTy/54gE7XOJj+fg9Jbhz185/+FG7evAkA\n2L67hdVl4yz3drewc4/juWeNONUPX3kJK8sGwll5rAvNDWSyN+jDTwhv9xgkiBYYN7A/E/A4yegq\nDd++yL05uvRYZbMpPOoe/8ufeh7+yAxc19+4iosXz0ESlqy9AGiYAe/ERhfcP3yGthpQw4ZEgXMF\n8kkIeenof3EQucYYWnL4pJnOWIXDci6gBANvECOCt5zD8LLCfQ4ZQ3tphX7PEHLu8jdxIFAQI0WV\nGUI6f59VcFSgPXRIJ7woCsRFjIygASVL2PdUhAyStpvpEpI0cPS8QENTjsLvQPIxtCAsWMxw5jED\nLe3t3AUbaboXAoKEU8psDp8YMEkrMrAh0UxHWYokNtuaao0B9c/gGcOQ4LC5BNr0XjBpxLQCkmsO\nkxBZTnruxQyjiaFvcibRpnU2mm0ExOzx5hn4vGpgUjdPdDEnHR4f3DXT0DpFt2HOf30lQMDGCDyS\nXtYlPEZt8PzA5bXSVILRe5UkCXSWuv3UnSTqhUesEsQzzTPMYkUMlAU4xOr1aI0E5pg1GEorca19\nam4IlEygBIe2RY1+4HTTdZlBUW9fLjM0SQN/rdtBh/It3td/jPRDrfXfOWTx/3rEuv8GwL956L27\nHy5s41ED9PuaS3DWRkClS9C7ZtTpSunoT2maYp00wHf7A4fdtpc53n7nBgDg7XeugZqrIFl/DIPB\nwAltCeGjQTrhUZg49cJ0MIAkzeiVlRVEjSb6PfNdq9VCs1k1D7571yRLBzs3kFBfwihKkNGgMJpN\nMM9LF+0BcFS4LMvwFjU8EIzjiQuGh3721Gn0982YOpmMURQK3/r5Y92sAAAgAElEQVS2kRe8fPky\ndndMsnE07GOWmnMJGrHjStcCyPckkBSrKv8YFDKKbtdWl6Fm5hwvXjiHm2+ZMvJut4uzp8+4RsKr\nqyegqBlElmVYP7GBw6yaBZi+rodFeYtRT312hgUqZT06rifIj9LTPkhzXTweLERX9aR6fR/3s8O4\nw0IIlNQwOs9z+L7v8OfRbOQ6+Xie5/ZZf/U5q+h3B4+dG3U581lVSUW2QBa4Hx140RynXOsFbfK6\nwuP9onJfVNfH5hu4rmY99ftij98d5xH+7n7R81HfHYyo7/cb+5dE1TDCaK7b5MfidgTjUBTYlGUJ\nUCcpXzAksbmvjSRCg4gHnnj4iPy4svPYju3Yju1Dbh8YrZXDqDz1AVxrXdEPH2G7dqC3FZwAAMmg\nNDEutEAulYvItWZOCKPRbGNC08w7m/8/e28WJEl2XYmd954vsUfulZW1V3VVoxeggUY32CAx2MgZ\nkGMcUpTJTJJpJNmMTKMPyfSjL+lHMqON6WtEG5lEjcQZgpoZckaiNEbSaAMSJLE0AAJEN5buqt6X\n6qqszKzcM/YId3/v6ePdd90jKrK6qtA0q4bimnVXZmQs7h7u1+8795xzb/OyNoNCneZyfveNN7C0\ntISnnnJ4b6oN4+dbW1vcqW82mxgN3WdWq1VkBZXc2toaG+R0+z3cunULAFCL1Ji3hV+yZ5mzBA1j\nV61YA8zNOYz80qVL+N73XKX9Z9/8MzzzxNMAgCcf/yh/XjoaYW5lFWdOOhZNrSzx4gtOrNSsxcx6\niaISe4sHBkwLE8jpmy4KDAwAFYKt2gf7+JVfcj2G9tEBuqSe/MQTP4NarcaGXkEQgRxVsbK8ildf\newPTwo+jk9LcUd3l/kiGqyNrzJjvjofPFHmB+2qxWN2Fhdrm/dTGxXOWDaSMGXuu/wyPlfoxamJy\nUGXhPY3xuL7IxUmjEcrlMrOYWgcWCVE7pZQ5U8tM7wtNrihkECDwx98IKFXwE5c+LRj2JPI2q75y\nn9xPf24aY2C8h3kYMuur+NrJELBceQubIiUDuLLMK9UoiiCM4aTgvr87vwspJVfCk6uz46KIUReF\nb3YCWpnEtbVXaQqJ3HZPTNAKAVZ1KQepAYBNhwjpO2tUypgnQdlcs4p6tfy+2zwZD00iPy7sAyTv\nsTC5JNo7z0lpWV4upYSSimmPwqZ4b90l0uWTa5gjh73u7W2cJC/qS49+BANS75UfacNaiwEZEO3u\n7hb41Sa/AAp0LSsVTJqylDmKImySyjIMQ25cnjvZYPfFo3YL/VE+mi2O45wOKDQ2iK9cq9Xw2KMO\n+z69dgqW4IuXXv4RVolK94UvfA4jIQGi6X37G3+KR6+4IQmLzQquv+u4xyZJcZL2/6g/zDnEAjQi\nLwdbWIYMg4joX3PNOi6edhYFz3/tJSwRjr+8vIxARdCU1A5bHZwlfvNBq40/+IM/ovf99bGv0icF\nkQ3GkpJCbhFgrZoKU0wm5SLsEcocprHR3d0JiyFUfsH679nAsJo2kOCZAkI5iisnwrFtytWcsNYZ\nZ8Hh6t5V0mrXxPXzKMMwYAWmtnlSdTM3fYIRY3BSUX8RBAEsnfPOsiLg1/NrrOC+gknHB0cUOd5G\n5H70xhhO6kEQcGO9m6THJ3Jr2FxOj0ZIPeRQCnnsXhwEsNmAG8lBEI7dJJmyKARjLUXqo3/eVMrg\nxHNYmHkHRj4OgWW+h2fBU0+1zb3FHUxcGIc4GkGTIV2ggCYl7JWFBpYXSONRKSFiUsHUwzU1ZtDK\nLGYxi1l8yOOhq8iLEMr9Un+mhfBLGSuhiK6khGSrzigMEQchT8X5xCefxTpNGi9XG7De36TehCKT\nqfXtXVx92TXuNpIBBoMB+uQbboxBGLjlYFwuwdvw6swiJZ+NKIpQiiu8HG93u+zhsba2xta5w+5t\nHNEU94OjQ6ResRYodLttHu+mwoAhmFdeeYXNsR658AhWllxFPej2eJn+6rWr0OUYtzepwdk+xJe+\n+BkAwNHtW1iiIcfGAFs7TtwUhDEKq0dYaeHbnrbgIW+EQUqmVT//pS/i9WtX3T5LiQvn3YoGBCsl\nxM6oN5pQoatO/uAP/x+8+vpbU79LneVVoZSSRSRF4VhRJWlgYC3BT9rA8tlOlSiLUCwLmgKZXxKT\nS/PJ34swQ7FSKxpgjauJZV5mySIsoLkKROH1o8EQQYFNoXXKTb84jtH1StskYWjQCDCcJCVg+GcJ\nISxDOxIS0o8utPnqwMEEOTPDTIha/D6nJh3bt2JFXqyEPcW1dWvj2OtXCct+4toa/rleqbJK1yu7\nWUEcSIRq/Lvy28KkholJYsW443sdq9Tp37tU5O745KMfNR0fB7H4xrOBKEwIGg27iGkV16yWcGLR\nXWerS03MkQ9RAANDK2XcR757aBL5+x7wB2Sz+CWrFIU8VFyWKwWhQl5afvs730WJRmWNzB46hNfN\nraziYMcxWDa2tnFw5PDeI5uhWq1iedklTGMMGzD1+33+LpQMMTe3wJ9vjIEi/lmapswRr5RrfFGs\nr69jOHQ3CCuAMp3U2gL94TBXYEYh9skMaWlpCZWYzLF2tnHjHccPr9fraHoZ+vV3sdFrs9HTM888\njW7L3TCs0VhbchDMxsYGNPGjo3qc4+DS0AnrZ6gaGErk0hpcPO2w91gCJnXHIgRwkWwN0ixBvz9A\nVHEn8rnzj+Df/JEbLPHDH19zN40pwXNBswwSue/8WFhbgFkkKwGtEhBEcYU2EFJzUiteBsVEMP62\nk3jp+N+KysZcgavvgHcYmhBAkf/jIRShM5blp+mI31drjaDQVwmiEJrghMxkbDfgFtk+KY978Asl\nIXnErQYPVIWBJ7dqa+FdAVJjYIrNjwLzx+rjoRW/z2ma8nXxxvX3cExbwMEP2tMyU5QJL5+fa6BS\n8n2gDCgk+WKPY1wNKflztDZ35IxpvbjJvxcg8eOhFYChFQfY+OMn+EbIUA7144ROUSZ4cKFZwcqi\nu07nG2VUSKVtsgSp9TTND9A0axazmMUsZvFwx0NTkfso8sgfBEqZDObxCsF8U2FyrmuaaFiTcHEy\nyjSa5EEijcLmgWsiJvtH2KTxbv0kxdyyswc1wzZGoxFbwqaZ4eVvuVxhlkEQlXh5urO7j1KphDNn\nHNTQ6XRQJu+Wnd1dtqEtquRkkDfkwkCiInNoRqcJ6nXXFGq1DjGgzz9z6iwvTQ/29mGIk9yoVdEN\nDWJ63mjYx5DOhDPLy7hJVfyw08OZE47TvdcdwlI5Z6yEMIDx5Z21gCAzTGHx9Mc/CgC4+e5bOLni\nYCLVKKNUGL7bHyWoUyPr2qtv4qt//g23nypEhVYKOBz/LvOlvPfbyWGHHI7TsNYLggw0MUAscihG\nC/ceY4wS31S34OnoxubkeWusm5YzBfaz2jgfEgAm07wKMBPNNoSS6TVjvGoLnsRjrYWgBr0SAhkx\nU7JkiGq9BkkNcmMyDP0kJiX5NdJagr38MZpkrbiPNMhXEdoarsK1NkhNPrzb17TKKqCwophkrXjY\nruinkqYpQytpmsIUdA/FEEZD+1VUlqJMIqD5RgMRibt0OkBgLETgITDFXkMm1ezvI2U+294YDSUn\n80jeoJ4WRR75ZNN8siLXIm/85sDB+LlkkTqtCoByKNGo0mqjFqNeouHf0kASQUCKDISY3pca9qFL\n5ECBqfIBKIPUFD/t1Ggg9SfkCErnrAsLge0dl7DLzTmeWbi9uY0jghkaC0sMucTlEsIoQuSn1Q8G\nSNOctSJUrjLb2nKDJba2buPChQsMp7x09RX0t5wU/Pr168xaaTYaGNGF3Ov1MCQcPS6XUK5VGXY5\nPDzE3JyTwjdqFQzIaGlnaxMBJas0GSLyOHCgIEcZ08Suv/sWlp90vumHB3uYJ1uBU59aw1f+7C8A\nAFF1Dt6wT1kDDQHpJXAiYwaLQIaTJHHv7m9j/cZ7AIC///f+U7z7rrtBlKs11OeXYMnl8P/83d+G\nIdw6g0GFxFGT0Tpy38tSPSSzM/p4d7TpN8lJESpnLgiTz4U0NGbLY+nWZMzgwNgU9JwN4QyPzFTj\nJ2M0e7NrnRV82k3hXBaul+BfM0atLcycLbxvIBUnyCRJEAUh/HQMrTX/rRSFPLDCiaUKybtw45gM\nzRBAQSwHCzZiNOCRhhLkEnoPgiD/nCzLmHWidRHKGg8By7Q8oTOUQ3KcLMcI6L3SLEWRDilV3uPQ\nhaRcPC/GYJL3iWmQy5i3+JTIh0EIjD/LJ3INR0z0w0ECVGnQSSWSCInyKcyQcXQFzd7qx5mMTYsZ\ntDKLWcxiFh/yeCgrcn93HxGrAXDTsf2A1cFgAF82KKUQBBZAbqlavJOVaXjtcDhESNPFjdYwdA+r\nxGUkmWEDnnKljiFxZgejFIcEc6hyA3WqumUUY3nJVcAvXfsBPv3pT3Oz5+rVqygTNHP27Hm3rXBw\nyvaOa0jOz88jjEsYUkVlbT69B5BYombjqHeLOena2rEJ5tko4cqn2WwyuyFJEpbID7sdLBJ3u9Pa\nRylwXiuBihEHChFVARfXzqBK4qK3XrmKX/ziL7jPgcJFmhr/ylvXUafGVRiFOOy2GWqpVAMeQ/fv\n/Mov4wbx0JPRkIVSBwcHPMJukGb42ONP4jf+l/8dALC+uc0N5kq1jn2ayjQZVc8jZ9Yud+4gBB0b\ni7HBxiGPoytUXOQZbo330C7AVhV1BxwBgCYi5RW21npMUOSbkMWKNEmSMaHMwPZZlCalOz4AoNOU\nR62FMocvRsMBYrJe6LY76PbaiMkpdOnECl573TGCSuUQJss/x++XsbmBmPUwiy/dhGLWioFBQhXx\nMMmQ+VWMkojI9ybrDlAt1/h8bDQa2Nx0sGMUSGZXpWmKetnBibvJDp//V65cwZvvXce00NkQAR2X\neqOKORLbSRR487aMQecQy2tOlyCNRUb7LIRgib82GXubRFEEo9N7gmj9d+ZyxzErh4nViGeNuaY2\nrV1sriMQ0rimMvkAnT1zCnM195r5ZhXVEpmLiQzW+/anI+gk93C/13goE/kHGfuH5BuiAlZ56syi\nSoZBqRboD0aoBS5JHxweYkQYgoiqjF1f/MhjCGgE2Xu3NnBr00Ehy8vL2NnZ4UTenF/gpNxqtbC/\n7xLcKMkYLzQQ2Nvbw1tvuYTXbDZxc91dFFcefRS7u86oK0R+I5t0kjMm4+64tBYJ4d/lUglVEhoI\nGDQJOzfJCNVyzgZROkVK0IxJh+iT6nKu0cB3vuOcGL/w+V/Apz/zcwAAG1dwY8v1AXSSoFYpI9EO\nwsmGfXz0UScoqscR7/OJ1RVcvuweV4FAQsv/pz/xSXzt+W/h2puOZphKgZBORauCY5fgvvsP+OVv\nAeNmOCVfDheFQkLIO3D0IgbqlaG2oB5EIZFbYzxISscW0P4mq3U+WCFNkXkFbpryc4wx0CKAJbBC\nFGGXAutFaw1QggqEYDZHphNkWYay9P7migdDJGkK/mbFJOVuOpUXQIH1ohkjN8jNxZzeudCHKL7r\nBBRRvHmhVLnjOWEYHptQQ1Fkl1nu3USB5BuUMsZBDgXYa7xfUVRW+mbYvSk7J7f1XsPfpCUEZN58\ngNH+cY1Aasb5SyFAuieEwuT3VJvCULK3SO+LduhjBq3MYhazmMWHPH7qK3JJgp5Wr4dzF9w4tTgM\n2SEwDlPU6k0cdZyIZfnkGurE967MLeK9DVd5HxwcYGvPNeu2dve48ffcZ5xVbLvrGpHNZpObRTt7\nu94hAGtra9jcdkKjOCphMBjxEnpp+QRee91tz+OPP47XX38dADBXTdgbOooirhoyk47Lj6XNpdxW\n86gxk2VIymQlEEcICoyDhUoZLZpwf+nMGUhy0luda+Ldt91K4cUfvoBLjz4JAPjcFz6PP/zKnwIA\nOoMeonKMhNwbs1Ef5044Fs/w6AAjqqKaC/POQRGu8RUQD7zdG+DPn/82btPrISNkXqgSBMePRrFe\n3EXwB1VxQoKbRdbKvLqGRtF3hRvaVI2zLF5kLGvPsuQOWbt7jaXmJbFTjB6zYsh9cFKkdPzdzznk\nkUnJEII0hputwmTggddaQ7D7Xw4zJoOhG/GnHATlG96AYypFyJu63ttD3CFU0mNT3LXxfPUMSea9\nhwzympfdiZg0UBTb3OGmCKedWGzM8eP+OaVS6VioIJQSmZflywhVmnAUR0HeBLUZKnHJ+a1MhAAK\nwiXwiuo4nvi0nx+EWZGSLUcYKQTMdNIs6JFCoxSFqBE7pVYK2YcoUBZSeKaOZn8dJ3piz8p73paf\n+kR+RHMNl5ZWoAlHPWj1EJcd/BHHMRrzC/jEs26QUaVWx/q2gzbefPNN/PAVN8ygm2QIaep9fW4e\nFx9x3iCBCqFkwPj1cDhEh1gjnU4Hi+RVMj+/iNsk2pFSYm5uDqfOuEEVWZYx66TXG2Bx0b2m33kP\npaJJP33BepS5pbifcA7FKjdZYFoEEuzNHZditrodDAaoxgHOkyfL9vo6Pvuzz7nXG41r19yc0u39\nfXTI6Pm5z34OCS3/kixD1hnBUJJ65MwZnCLYqNM+QEAQTrlexxHd4JZWltEnA7Lf+b3/C+/cvAVJ\nPYeRzg2tZBSyveodYcg021QAWFjq+rskTsnXWFjhb3IiZ6ZIwJg8QSsIVj0Kq3LTqyybakPrRT9F\n1eY0BeFxP1trkeqMRVWR1Sj6r1rtYZoUlhI5jGVoZjQaYTgc8o29XC6jRhDezs4m93ww8fmT25vR\nDU/DIqNqZFTA8nVmmXJoBPj4RfS5hm8+BXGTzfsF7XYbZsXd1IsDJ8rl8pjtbzFkQdkZRyHbuMZB\nADPy37lGuZobcPkbqvtZFOh//n+5SCd/3p3Uwp8kfMIWKoII/PFP2J5WBkA5DtCoO6ipUo5RIi8f\nN5qObvKFXoZAEdq79235qU/kgrDvWxu3ceGiw2tPrJ7CG6+/BgBoNppYWj6BG2SUdfPWBho0F1GF\nAVMBTXeA+RMuwVabTX78x1d/PKbY6/T63OCpVur8+I1b67hIxlA3b97E6toquyG2222cpHmgh60j\nPPkxx8P+/nfeu8uOjVcmfkKKUoqN6efqDawuuX2BsVinAcdZMkQprmLUdg2qK5cu4jyZWwlp8alP\nfQoA8Du/9/9i4bRrdr7+7ts8ONgKi6PDI5So2fnYpUeQdl1T2PZ6aFCDdeXkKmpNR2WUYQk/etFN\nUfrat7+NVMQQpNozQrIxv4pCnkQ0GZ5ra6k7wNV2obq2IueRA8grnQKK6JO4MHd6ZadpLj1XSo0Z\nPRUVnJM86vf72b/Gm2hZAcZVx6iUxsJ6jUM2yqvzLOM+DACEUYQG8e2TLIWQdCyp8vbb61dqxmbk\nm53vS1a4SQyIWOA45Ln61GsffKFSbPbm/QPLNNd2u83vW1xFxnHMDoeTYU2GiM7fajlGJfZ+3AIp\nJeNAKvd6W6A58soL44kceSK/F5uPSYn+vQZTbo0bbuN+NvA5vRwq1Csx5huUyEshInaZzPsC1lq+\nwQsZQJKMX9xHJp9h5LOYxSxm8SGPn/qKPKUSaGHlJA5bbplvrcDFSw5KGQ36+NFLL3MVff7iJZTJ\nk+TG1hZPCIqrNVy+7Crq/VYbrxD80Ol0MDc3h4yqoDRNmbWyML+EESn+9vf3GT55/c23UK/X2Xq2\n2WxiZdVV5Btbt7ly8ZQ2wLEWTGGZPm4JanOVos5gvFWpzD0wFCwEVTMrK0uopikeueC8T/rtNt56\n0+HyZ86dZaHIU598Em/fdCNX21oj8/huGADCoF5xq51mtYLDzRvubzbDpcccrr60epKtZ6++8hr+\n4I//2O2LULBKAUT5tFpwRaLCAOIYaMWaJP95Auucpr4TyCs1Ywxj50ZYSJuzgKzOl7Pa5r0LYRVD\nGawe9dBCQVAkrOFjK6w+9mcj8rFfUsh8eo5SOd4vcnFJNkoQEnZtrXGVrt+hADxVyhjDE5osCtCK\nzcagFWPMmAkWUw7TArSiAc0YM6DZdEtR5UuvL0wVyjILRdBeu91moVK5XM4ZREqNeZMXw6QJKlVX\ntdYqZYYDAcOe44GUUEoyBAVjC1j+9Ip8sqD9oKGV2J8nMDCZr8g129BWKyU0alU0aN9ClY+xE8gY\nAjUF1k8Q5jDt/eD2P/WJfHnFGThtbW5y4/HwsIISUbdWlhexurqGI6LfbWxt4iLxwFdWVnCWBtTu\ntbo42HO0uu29ffRoxuDKygqUUhgc5c6GPpEXaVlnzpzB+vo6AOKBZxk7Hi6tLLM3+WAw4DmbpVKJ\nl6lJkidyKeUY/ogCXp4kCQI6WYbDIQY0WzQM8hPko088iXK7i4N9h9m3ey384Us/cNt58SwiShAH\nrUOkdOFs7WyjR1BQrEIszM3j3EnHS0+HA9SJmjlfLWGFuL77hy30Bq5Z/Pxf/iXWt9zxm19Zhg5L\n0D5hm1zpKJXipeVkWG52jlPqhLGw8k4/cggLY3L4wqq82VmERmShuZpl2VTfbDHRQCtCE0X6YZrm\nDc40TceeI6KoYBlhC4lcwBtTSJF7gI9GI8SUiCUZraGADZcq+QAC3+ydxOUnf84TmMhtKgrbrK3y\nrM6xxK2UQmb0WCIvHpNis9O/V61U5UJCCHFsIs+yjN07y+UyN1ZhLfPrYyUgbd7UFMLA0neb37Yd\nxMB+4Li3hP2g0Ir3UM+yhGmSUmjENLO3Vi2jVimjRD0jJS3nZmstClN4ITw0GgaI6FiI45r+U2IG\nrcxiFrOYxYc8fuor8hbRCqu1BhTdKdMsQ5OoW0mSodNpcbWwXK2woGVzbw8tqpqNtRgM3c/9QRcx\nMS7iOEZ/OOAqpFwuIyDK487ODix17p566il863kntFlZPcnGWADQ7Xa5OsqyDDs7jqZYi8O80svy\nznYYhlBS5ksz45bhgKt8vL9Fo1lDh1SSxhjUqIK7eOkCbv7VCzik/RwmAzzz9Cfd8RAZfvSaawQf\nDoZoLDiVqYgr6A3d8yEFVlZWcGLZVeRbtzZwlryVQymQEUzw2ivXsLPnGEDXb9zAhUuucfrexm00\nlivoEZwVxBWuTYpj1yaj6KFxL6q3YjWmJsZ0FUVEjpZ4J63OGHNHdT7GQilQC4tj+Kb97N+3uAqQ\nNh94zI7Ahf1PCt+5t9f1UIm0hYHEE5Xb+9Hu/O/Fxq1mT5nx/c0r4PHG7eT7FQVBxWYn2zBbOwYV\njn2GzojFAcRhBG5W2nzVMjF7eUIEZABiJBWr83s5Dj9JBIG39BVsziakQRC4XFKOQkRxwIwyITLe\nwslt8eeZU6rT8z989EMBWJK7ZpJnYwaq4BsuwNLjUqmCdDSg17ruuT9J4lhDKY+lJtjdvg4AWF1a\nxGrTmVQt16tuBiWA4bANIRKMhu79uolETLMhRSVEmpACNDHodGjJ3Jc4s+LgAxtbHB0dsbF/IBVa\nLQfTrK+v40tf+iUAjofuE6wSEqdPn8btrR/y7yWyDzh/9hzeIvfBxx9dxje/+U0AwKnTZ9EbuP06\n6nVw5uxFdAn26Q+H0DQS7vTaKiwljxs3buPXfvlL7iiNRrhG8MkPv/8dPPeZZ1Dddcfjx1dfx3c3\nnaFXYkPc7Lh9rjfPodV2n6lsHxUyM/p3//YXcaIaIW27JH2kA3SOHCPm5lvbWCU2yMUrj6JMNM+3\nbmzhzevuOYhiDNOEVad6NAQ8rqqHiMkxcjJk6G4EUiTuJOfJ5QJZAULxYYTg4wppYXldK2GNhAcp\nisvqQMScVK0VTNETyrsHeg9uIIjcdvZ6PVhijZRrVWTWqYn3Drf5fecXF1BfPYEB0TF1plEuuV6M\nKFkMOg6qS/tDBIKgiWqMBnHSG4MOKh2FNp0bYbWM2zfcuV1KJXqx284IEoq2JdAABmRgNQRSa9Gi\n5HMAgzeG7nq6kSTQZNEQqBJERtdcBpSUfy/nNtmn6yQsl6DpRphZCUN9nYOjNnaOXJFy8tQ50GZB\nD3aOvfk2RR/nF9z3dHGlBkt9pWGvj6BEMzvDipu1m/nZeTnebwSYSqqFGTcnw/jN456SO8MflHYZ\nQjJj58p+4L7/NEkQSHcsF2OLE66mwZk5i/l4iJDUvEkGZmclVsBIUmDHZUQxFZmBglX5qL57jRm0\nMotZzGIWH/J4SCrywl1RFJpYH4CP7aVLjmmy2GxgnnxTsmEf+/vOEnXQ6yGMI5SIe12KIhySAdDu\n7h4G1CQvlevMHRcI2Wd8s7WJLMuYQdDpdBCTB/iVK1fQ6bjq7KjdYmZMozGHNE3RJI717u4uQytR\nFHGDKMsMVsgPHJDcRM2MRevwAJqqxYVmAyNSae7v7aBGVUxzro5r15ygKQwEdvcdA+f27du49sY1\nLNAYOA2FLm2nljHq1OytlCKkJCISVuPMKbcKuXzxEjBooT1wK48nn/wYYt9sTEdIlx0j6I0338YL\nLznu+ObWFoLIGy0rOOsS4ggHAVLe5wxSj3PkfXiTJKvsXZf50+JucMy9QDX+Ofl5Os4Xn2zATj6u\ntcbh3j4fZ5EZgOyCa6UKAlpRZirBiKCJ9t4ueiSIOQGDM/Nz/JmtVgutA/d9Gq25qas14JcawuQL\neSsFdJY3QvuDPrNLJre5OBQ6N6BTxx6nseMCjE1Iimm/RoMhn++TUSpFY4ZwvgIu8vjd8PSpL58I\nifuZrHMvcdz55UVJEnYcMpuiDObfuaktueJ2HupFb/37r68fmkQ+LcYoZg/4Hh77TtOUsW8M+8go\nQSnlhAYei2ssLGDvlqMFQgo2JrLW8hR7IDccGgwGhH+6LTw6OsKpulNsPnLpIq5fv8HP85/R7XYx\nGo345G232+j3cxaMxxg73QEuX3bqyzfffhslmgVaimJAG2anlEIBMyS5dZaCVuNQjRqukx94KQox\nINOqZmMeqytzjMV7xSvgDIxSWgqaYR/Lcw7+2N3axDNPOaGS0RmUzecxxpGEoOngSoV4j6wIrr72\nGm6QGZiIIpQCt/zuJskYRhsqxfZgVqd3iJ34mPtZhnFwB4KV6wkAACAASURBVAPjuMiLggK+zbMY\n6dXFRIx7T/jFJGMKftzFvxfNsIQxzHy6vbHJnLnFxhyadUdNrVQqiAharMw3MSKYrDvoY5Qk6NA8\n1L39fbRp3GApjKBppF5mJKynwtncg10LgUwIpARbHBy1cvy6MPWtKG6DyJWhQgSwhZ7BWHJTcqz4\nGhDMV0zkw+EACwsLU4/rXKPBrBUhBLsyBoEcc5i8WyIfP2N+MqDh+MQ9jm8XzxK/nWEg+LoeG1wC\nAMhvUlJIeOWbLNywhFAPVMDOoJVZzGIWs/iQx0NXkd9tmfwgHectmrwTCqBEA5YrgUCVBvxGQQCl\nFIsj+ru73KyM4xixchX9IDUMedRKDa4ubh2sI8syHBw4qCZJEl4FlEolDAjyCMMI8/OuibqxsYHR\naMTvV6lUcETTbz7ykcf5vXf2O3js8U8AAK6+8gaGPQf5VMoxmo06GwqZ4QAHe66x1qzVYbV7306n\nBUErivYw4SlGVz76cZxbXcSf/MmfuOf1OlwE12slSLjXJ4M+SiVXUS3VK1iZc9DS4fYWLl84B03z\n4WwyxOqaExe98cZr+Ldf/ToAYO/gAJKajWG1hh4xa4K4hDAqcYVtIVmuHqrgWE+O4C6FyjTudPFx\njK3uxivycfOk6efZJIOgyJ1WSrEBVbFqj6KIV1fWWohUo0Ze3cvLy7zP5XIZilZb3WTIkEc1S9nM\nKpUW1b0FjIxfrXVZ4l0vVXDQcRW51RnrJZQRzNXXcAKgPlXkh0dt9D0nXeT1nEDBIEu6iUcA3IrT\nakiVs0M8D9oxaugNpGB9hNYatiDtrxV478VYWJhzU44AKGGZxx4E+bngIBewcAyQMN50SuDBl+wT\ncZzQbNrfPetJCcG+91Gk3CQn0GB3IXK+eJG1FChIykcyUCx8cufU+680J+N9E7kQ4rcB/DKAHWvt\nk/TY/wDgPwewS0/776y1/5b+9t8C+M/gkLr/2lr7p/eyIdMwcnq/8b/fZ3jhTrNaYdFNSQE6cSfo\nIE0hTQgl3YXUH+X0qVKjDqPc41po9kZJZMLLUsCdsD75z8/nPix7+zv8XpVyZWyplSQJSjQkoN8b\nMpYuhMCTTzpl5A9++G1IupHAhhgRtFMOA0BrKO2FFyGyplf5aSR0Jff7fdRomMOwN0Rt3mHsIwNc\nvfYadnYPaNvK7M+RjYaIrXfFG+Bgw+3XM09/Au19d7MoBQrddhsHRC08vXoCXRrG8ca7t7Bx2wmN\nEp0hrhDrZzDCwB/XSg1RFKGfeH+PlAdjlEoRAh4wNh5hcKcox/079eljz7nXRH4ctHIns2F86EQR\ncvBL60qlwvRDSAEYi2XvQ7O8DEXPk1JiSOMBW+02UjoXokYVc9SLWVpaQq3ZyOl4SvE+DQeDwpxK\nw70TbQUMZb4RnPFbh4qH7nAEQzd5ESgIT4U0NodZJFic5GGigAZNOA8UfyMD38ikUGMzZzV7iwfH\nQiMLc/MoE7RitWEGWChzmEEj94wHSEDGxjX8P3wQ+PhxyfsOaIWuGQHBVMQoihDRODdndCeYJuzu\nkgXYpQDBMJolAPUAQMm9vOJ3APzilMd/w1r7cfrPJ/HHAfwHAJ6g1/ymEGJ6eTWLWcxiFrP4QOJ9\nK3Jr7fNCiPP3+H6/CuBfW2tHAK4LId4G8CkA333QDZxaqd9HL8B3yiMpuEFpDLgJE0gJEQUAVSe1\nahUVXylay03IuFznyS9HnTbMdcfh7aVdpFnK1f7Kygpz2m/cuMEVVJIMEVCzb3FxEcYYhlp2tt/i\nxuGNG9fxyCMXAQAvvfpjtNpuyTw3v4yO3/8sRftgHwHREy4+/ig+97POsfB7L3wfO7uOzdAbjZiB\nY2SA+VXHG1/fPsBwaxMpWdSW5irsAaGshaTK99Kjl1AifrBOR2jvuSZmFwJvv/46fu7n3PSg+sIK\nvvzlLwNwsJHwxzYIAYIMRBjy4NzBaITMGIYWTMFJLw5DyHT6aXmcK2IxHhRaeT8WzDRopdjgKzJY\nvFeOUiqX6+sMNjUs3knTDANa1YkoQExMoYXKCmo0vPqxx55gNlS1VEY6ypiHLiEQUY00zAwv7VNY\npN7xEIJ9UwbGoJMmPEA8MxZS+CnuIVLPyc40f39SKbYKliSo4pWHyVdNUgbsgSKEQKftGrK9QR81\nWlFImU/OmYy5Wp1FM1rnnddA5H7oWmsYIcaHVtO/Zgxa+eAane8LrXixlrC8/VEQ5t9/GEDIfIUk\npGApvlAhFOUDoZSDlOB8W8QDoA8/CUb+Xwkh/hMALwL4b6y1hwBOAfhe4Tm36LH3jfwAjV8gP2n4\npKqTEXpDErdEASp1l+CrlTKMAIZ+zqExfLJ0ul3sHbmT8uzFJsp0UiajLnfmB8MBwjDE6TNuN5UM\nsLvrIIjDw0OsrDhlZLvbhyBMb2FhAVIiV8DFAd8I3n77bSytOFrg8onT6A3cyX9y9TSGZDtrh0Mo\nAaQDt22hMDhz0nnK7F84z0KhYZaBECRE5TKPWmsNBoigUK04qCVSERYa5JXSrGGZIJgnHr3CI+C+\n/o2/QCy8AASI4jKuPO4goOvv3cQPrtIwjIUFaNrPUrUMEXp71Xx+ph4kSBPNvtMCDj8GXCKRx7BW\nGG8OwzsS7/syDd6HfshxzCk3DVrJfxRj0Io/56SUvM3DZIRh2uPZsFEpRo2Kh3KzzkZtQ53ikPxx\nTCB57N3IZBgM+ugR7JKNEoZwGvU62kP3nWuZC5wyWHhp3AAGvTRFiyiwIgwRkl2slhJp4r2xNQi6\nRaAkbODVpw5KYEZLgT4qlESmc0GcFw21222cJd8dnWaQdvr3Wi2XcspimkB6CDIIcpMvrcYMxQCM\nJ/Xi9zZG37v/pHjX5F0IP+RCwfIYySCUBdaKGDtPIAs3fCXZkE0pxXM+cxXS/cWDJvL/DcCvw33k\nrwP4RwD+PqZfBlM3SwjxDwD8AwBYrU9vghQrpQfFyD13uxQoTpaByl0BdZoASiKjKnR+YQ3z9FG9\n9AAdatwMh0Po1H1b3W6X3d4QOCxsddWZ6V+/fh17xFFPU80VVW8w4gs8jFwTxyf8paUllCuuct3f\n3+cG7dLiKhvnLC4u443Ee1NbzC020Rq5i7d91MIPX3gRAFCfazKWGAchSsQ9T6zA2++4VUSlXkdk\nLM6dPQvAYe4elz51YglPXHGTlCJp8ft/+G8AAI899hg2t93MzsWlVXzuF/4WD5P+8r/4Xaiy28+R\nUVCkUosqVXRpyEa710WNbp7NhXmYNONpORAWJinwyKdMgXF/o7RE8x/vhX5YjLvRD4vPudcCYlrB\nIWV+IYdhyCsyA4uwKoDAd/IkqxabCwsokzPmUb+LDqmWDSw0JYhSEKBUrSAbuOM06g+Ye28zDeWH\nT4u0QDmUSL2BmrXoaYuuv7OrGAENDxZCQnqf74LpVvEGJSwdG3nndTjJI/erkH6/jxJ5zifp8NgV\nVRwqDLW3MsgYly9+xxaZGwAylrD9P8VZngUrh5+8DhyLyWpd8vkD7vEEQhbwblpx0oaqfJMhx1Zx\nKl/xWQDH9IjuFg+0DrHWbltrtXUo/m/BwSeAq8DPFJ56GsDmMe/xf1hrn7HWPjNXnm44P4tZzGIW\ns3j/eKCKXAhx0lq7Rb/+GoBr9PMfAfg9IcT/BGANwGUA37+X9yxCK4XPGfvZ37Wc+Cvvpgtx/LQW\nRcvXTq+LeVJJpt0OUqpMTq6tQiqF8pyrXOdOnkSHlIXtt99jNeX+/j4W5hx8UalVIeh2LysBzp8/\nz3M2tdas+ux0OkzFslaj03EwRRAEOLG6iiPCr2u1Gvb2aAycAlMRG8vnsLX+HgDg7MllPProYwCA\nd175Mba2tnDhlNufYX/AS/ibN26w6ESWa6iS1WbrsAPpmTmdLr70s89BeFFT5wgff+JRAIAZ9dg/\n+c++8sdYXHA4/q31m1ijCv6Jp57GyslV/OPf/C0AwMbOPgTRObUM4EuVdrfDY8PqjTmE9BybOQvY\nhKrwCALSKw77fVSr01dodT8LMk3HKt+icESNVde5gGWyknSCJMKFC0ZZlVpt7Lzz1aWnBPKyOQrH\nqIX+c4wxvArs9Xq5H7gARKZ5kpPRmlcecRwz5dQEko3GlFLsYZ/0BvyYP06WmC4mzdDpE821XIE2\nJHYrV9Ci1eGtg0O8e3sTFZpHqzTQo9F7YVzOR+0p6abVA0jTEVNpFVXn/jgIIVnBnCYaA4ItS9U6\n6nX3+vX1W7h101k3r51Y4clHk2GSFBGV62Ec5MdfYuxatkLC+GNeYK24Wap3MpistWOGYsf1T+5g\no0zkEv/3LMvGVKuGeJIqFAhppRVHAUOITqWZQ0DVSgUZ4VZGBDz31xqNwOcTIZmWeD8YxL3QD/8V\ngM8DWBJC3ALw3wP4vBDi4/RZ7wH4L+ggvCKE+L8BvAq3PvgvbXG43j3EJA72k4an9a2dWMHurrtA\n5sslzFGCOjg4wOrJkwyB3L59G+u33Ng3I8BGV1G5hi5dLPXqHNZOOuxvBGekv7zsmpU3b95C38M5\npTK2tpyyMS5XIWVOP7x+/Tr/3um0UCY/76eeegovvOhgkmcWzzKVy5xc4ubU6dNnEWIFJeUTcQvr\npEaN4xi1msNbEca85EsHfcQ1t5R+9rlPY+3EEvZ3HLRz5cknEJDE/vTFi9hcd8OXr1+/joVFd5yQ\nCVynUXH//t/9e/jn/+r38SoNsFZRFRUyGuv1hzwzU6B48xWsfgUEJFQ+ZxIWgi4KATU20qwYGcYv\nyp80ihCC/7nT6YxdyPxckTsQAu6iHuM4T4EjionDwKJcqiKixGiVYI5/HMes5mxUqlgh64QsSZ2U\nHw7ySAZDvjGUy2UMtDsfe8MB4tC9b28wQFRyN+KDwRCaePy3W0ewcRkJJQwtBB9/aSU7MUrL92H6\n16tEJaQAUwMzgP3Ai9gvAKTaD6jOb5BKqVyZOxGigJ27gs1fJ2CVr4EChMnhEiv5Zwuwn/tdu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O17BwohOGLYxhPNdYAeNxVRnkOC5yXJg/w/c9RI6fLy8vFz7PcI8jTdOxOatZluHECWeiVlw+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\nXqNGjRoPOf4/4hEXSrPIvL0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3a4160f518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.imshow(cv2.cvtColor(img_bgr, cv2.COLOR_BGR2RGB));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Obviously, this picture contains only a single face. However, the preceding code will work\n",
    "even on images where multiple faces could be detected. Try it out!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Implementing AdaBoost in scikit-learn\n",
    "\n",
    "In scikit-learn, AdaBoost is just another ensemble estimator. We can create an ensemble\n",
    "from 100 decision stumps as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.ensemble import AdaBoostClassifier\n",
    "ada = AdaBoostClassifier(n_estimators=100,\n",
    "                         random_state=456)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can load the breast cancer set once more and split it 75-25:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_breast_cancer\n",
    "cancer = load_breast_cancer()\n",
    "X = cancer.data\n",
    "y = cancer.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    X, y, random_state=456\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then fit and score AdaBoost using the familiar procedure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.97902097902097907"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ada.fit(X_train, y_train)\n",
    "ada.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result is remarkable, 97.9% accuracy!\n",
    "\n",
    "We might want to compare this result to a random forest. However, to be fair, we should\n",
    "make the trees in the forest all decision stumps. Then we will know the difference between\n",
    "bagging and boosting:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.93706293706293708"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "forest = RandomForestClassifier(n_estimators=100,\n",
    "                                max_depth=1,\n",
    "                                random_state=456)\n",
    "forest.fit(X_train, y_train)\n",
    "forest.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Of course, if we let the trees be as deep as needed, we might get a better score:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.98601398601398604"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "forest = RandomForestClassifier(n_estimators=100,\n",
    "                                random_state=456)\n",
    "forest.fit(X_train, y_train)\n",
    "forest.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As a last step in this chapter, let's talk about how to combine different types of models into\n",
    "an ensemble."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Using Random Forests for Face Recognition](10.03-Using-Random-Forests-for-Face-Recognition.ipynb) | [Contents](../README.md) | [Combining Different Models Into a Voting Classifier](10.05-Combining-Different-Models-Into-a-Voting-Classifier.ipynb) >"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
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   "pygments_lexer": "ipython3",
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